Confused on Algebra Homework??

Question

i know i just asked a question on this topic, but i am still very baffled. What would be the steps for a problem such as -8(x-2)+4(3-6x)=-36

Answer 1

With questions like these, the first step is to expand the brackets so that you have individual pieces of the expression.  So like this, remembering that 2 negative numbers multiplied together give a positive number:

-8x + 16 + 12 - 24x = -36

Then, you want to get all the expressions with "x" on one side of the equation - in this case, I suggest moving them to the right side of the equation so that they're positive - you do this by adding 8x and 24x to both side of the equation:

16 + 12 = -36 + 24x + 8x

Then move the whole numbers to the left side by adding 36 to both sides:

16 + 12 + 36 = 24x + 8x

Then add the numbers and add the expressions with "x":

64 = 32x

Divide both sides by 32, and you get:

2 = x, so the answer is x = 2

Answer 2

-8(x-2)+4(3-6x)=-36

-8x+16+12-24x=-36

-32x=-64

x=2

Answer 3

-8(x-2)+4(3-6x)=-36

Expand (remember that negatives have to be accounted for)

-8x+16+12-24x=-36

Combine Like terms

-32x+28=-36

-32x=-64

(negatives cancel)

x= 2

Answer 4

First, distribute across each binomial, be careful of signs.

-8x + 16 + 12 - 24x = 36

Collect like terms

-32x + 28 = 36

-32x = 8

therefore, x = -1/4

Check.

Answer 5

first multiply out the ( ).

-8x+16+12-24x = -36

then collect like terms, numbers together, letters together

-32x=-64

isolate the x

x = -64/-32 cancel negative signs and reduce

x = 2

then check by putting it back into the original equation

-8(2-2)+4(3-6*2)=-36

Answer 6

if you're solving for X then you need to:

1. distribute the numbers through the parantheses

    -8x+16 + 12-24x = -36

2. combine like terms

    -32x + 28 = -36

3. put your x's on one side then numbers on the other (subtract 28  from both sides)

   -32x = -64

4. divide by -32 to get x by itself

   x = 2

then you have your answer. hope i helped!

Answer 7

-8(x-2) + 4(3-6x) = -36

(-8x + 16) + (12 - 24x) = -36           (multiply out the brackets)

-32x + 28 = -36                             (simplify)

-32x = -64                                    (minus 28 from both sides)

x = 2                                           (divide both sides by -32)

Hope this helps!! x*x

Answer 8

-8(x-2)+4(3-6x)=-36

ok so first you are going to distribute the -8 and the 4.

so.. its -8*x and -8*-2(two negitives=a possitive) .. and 4*3 and 4*-6x.

-8x+16+12-24x=-36

then you combine like terms. so -8x+-24x=-32x and 16+12=24

so now you have..

-32x+28=-36

you subtract 28 from each side getting,

-32x=-64

and now you divide -32 on both sides getting

x=2

its not negitive because two negitives equal a possitive.

hope this helps.

Answer 9

-8(x-2)+4(3-6x)=-36

MULTIPLY TERMS: -8x + -8(-2) + 4(3) + 4(-6x) = -36

SUM TERMS: -8x - 24x + 16 + 12 = -32x + 28 = -36

SUBTRACT 28 EACH SIDE: -32x + 28 - 28 = -36 - 28

-32x = -64

DIVIDED BY -32:  -32x/-32 = -64/-32

x = 2