10 (x + 12) = 4 (x + 5) ?

Question

solve the following eqtn for x:

10 (x + 12) = 4 (x + 5)

and you have to give an exact answer using fractions if necessary but no decimals...

where to start... also can you put this into solver in your calculator and get the answer??... it comes out to be -16.66

Answer 1

10 (x + 12) = 4 (x + 5)

10x + 120 = 4x + 20

Unknown in the Left and Constants in the Right side, we have:

10x - 4x = 20 - 120

6x = -100

x= -100/6 = -50/3 =  -16.66

Answer 2

Distributive property:

10x+120=4x+20

Combine like terms:

6x=-100

x=-100/6=-50/3

Answer 3

10(x+12)=4(x+5)

"do the distribution or whatever they call it"

10x+120=4x+20

"subtract 4x from both sides, which keeps the equality correct"

10x-4x+120=20

6x+120=20

"subtract 120 from both sides"

6x+120-120=20-120

6x=-100

"divide by 6 on both sides or multiply by 1/6 for both sides"

x=-100/6

"common denominator is a 2 so"

x=-50/3

I don't know how to put this in solver calculator but if you actually need to do that, then honey you got way bigger problems.  THIS IS REALLY EASY.  I could do it when I was at least in 7th grade if not earlier.  Been a long time can't really remember.

Answer 4

The problem specifically says *no decimals* so you can't use your calculator to solve the problem.  You can check that your answer is close to the calculator answer, but can't leave it as a decimal.

Begin by distributing 10 and 4 through the parentheses:

10x + 120 = 4x + 20

Subtract 4x from both sides to get the x terms together:

6x + 120 = 20

Then subtract 120 from both sides to get x alone:

6x = -100

Now divide both sides by 6:

x = -100 / 6

Reduce this fraction:

x = -50/3

Convert it to a mixed fraction (rather than an improper fraction):

x = -16 2/3

This is the correct answer in the form of a fraction (not decimal)

Answer 5

10x+120=4x+20

6x=-100

x =  -16 2/3.

Answer 6

Apples

Answer 7

10x + 120 = 4x + 20

Next step: 10x - 4x = 20 - 120

Hence 6x = - 100

x = -100/5 = -16.66

Answer 8

You first have to use the distributive property. So you will get 10x+120=4x+20. Then work it like a regular 2-step algebraic problem.Subtraction/Addition property of equality to get like terms on same sides. Division/Multiplication property of equality to solve for x.

-50/3=x

Answer 9

10(x+12) = 4(x+5)

10x + 120 = 4x + 20

6x = -100

x = -100/6 = -50/3

P.S. -50/3 = -16.6666666

Answer 10

10 x +120 =4x +20  

start by combining the variables

6x +120=20

then subtract 120 from both sides

6x = - 100

then divide by 6

x = -16 2/3

Answer 11

10x+120=4x+20

  10x-4x=20-120

        6x=-100

          x=-100/6

          x=-16.666

Answer 12

First you have to use the distributive property to get rid of the parenthesis.

10(x+12)=4(x+5) Using the Distributive Property we get

10x+120=4x+20

Then we need to get the x's all on one side by subtracting 4x from both sides

10x+120=4x+20

-4x         -4x

That gives us

6x+120=20

So then need to get the x's all by themselves by subtracting 120 from both sides

6x+120=20

    -120  -120

6x= -100

Now we need to get x all by itself so we divide bothsides by 6

6x= -100

/6    /6

then we get

x= -100/6

we can simplify that

x=-50/3

Answer 13

10(x+12) = 4(x+5)

First, do the brackets.

(10x + 120) = (4x + 20)

Then 'isolate the variables'

6x = -100

Concluding that

x = -16.6...

Like your calculator says.

Answer 14

10x + 120 = 4x + 20

          -20           -20

10x +100 = 4x

-4x           -4x

6x + 100 = 0

       -100   -100

6x = -100

x = -100/6

which is probably -16.66

Answer 15

5(x+12)=2(x+5) [divide both sides by 2]

5x+60=2x+10 [open bracket, i.e. distributive law]

3x+60=10 [minus 2x from both sides]

3x=-50 [minus 60 from both sides]

x = -50/3 [divide both sides by 3]

x = -16 2/3

Answer 16

10( x + 12) = 4 ( x + 5 )

then become 10x + 120 = 4x + 20

then Transfer.

Become 120 - 20 = - 6 x

then 100 = - 6 x

then x = 100 / - 6.

which is equals to - 16.6666667

Into fraction is 16 r 2 r 3.  

Answer 17

10(x + 12) = 4(x + 5)

(12 * 10 + x * 10) = 4(x + 5)

(120 + 10x) = 4(x + 5)

120 + 10x = 20 + 4x

120 + 10x + -4x = 20 + 4x + -4x

120 + 6x = 20 + 4x + -4x

120 + 6x = 20

120 + -120 + 6x = 20 + -120

6x = 20 + -120

6x = -100

Divide each side by '6'.

x = -16.66666667

Answer 18

The outcome from inputing the equation in your calculator is correct but seeing you don't want it in decimals the fraction version of your answer is an improper fraction. it's  16 whole number 4 over 6 so all u have to do is replace ".66" with the fraction "4 over 6" and so you'll have 16 as the whole number at the side.

Where to start: In Linear equations like the one you have above, the first thing to do is to open the brackets on either side of the equality sign (=). you do this by multiplying the contents of the bracket with the figure outside the bracket as shown in the following

10(x+12) = 4(x+5)

10x + 120 = 4x + 20

next you collect like terms by moving the respective figures over the equality sign (note that when you do this the sign in front of the figure changes) so you have

10x - 4x = -120 +20

        6x = -100

          x = -100/6

          x = 16.66

  

Answer 19

first distribute. 10x +120 = 4x + 20.

Minus 20 from both sides

10x +100 = 4x.  Minus 10x from both sides.

100 = -6x.  Divide 100 by -6.

Hope it helped.