Homework help..........?

Question

Homework help......?

can some one please show me how to do this problem step by step...im pretty good in algebra but this questions got me stuck

Solve the equation-

2(x+3)-1=7x

Answer 1

2(x+3)-1=7x

2x+6-1=7x

2x+5=7x

2x-7x=-5

-5x=-5

x=-5/-5

x = 1

Answer 2

First distribute...

2x + 6  - 1 = 7x

Subtract 2x from both sides...

6 - 1 = 5x

5 = 5x

Divide both sides by 5...

x = 1

Take care,

David

Answer 3

2 (x+3) - 1 = 7x

In order to do this problem, you must first distribute:

2 (x+3) - 1

2x + 6 - 1 = 7x

2x + 5 = 7x

Now after you distribute, you are going to subtract 7 from both sides. Therefore you will be using the ZERO PRODUCT PROPERTY.

-5x + 5 = 0

Now factor -5x + 5 which is -5(x-1) = 0

Now then set x-1=0 (zero product property) and you arrive at a final answer of x=1 and x=0. Once you arrive at your answers, check for extranous solutions. (Plug them in to see if they are equal to each other)

X=1

Answer 4

Expanding out

2x + 6 - 1 = 7x

2x + 5 = 7x

Bring 2x over

5 = 7x - 2x

5x = 5

x = 1

hope u understand ;)

Answer 5

2(x + 3) -1= 7x

2x + 6 - 1 = 7x (first get rid of the brackets)

7x - 2x = 6 - 1  (keep letters on one side, numbers on the other side)

5x = 5 ( 5 x what = 5?)

x = 1 (final answer)

Answer 6

(2*x)+(2*3)-1=7x (multiply 2 separately by each character in the parenthesis)

2x+6-1=7x

2x+5=7x (combine 'like terms')

5=5x (get x by itself - subtract 2x from each side to cancel from the right side)

1=x or x=1 (divide by 5 in order to make x singular [just 'x' instead of 5x], and give your answer based on how you are required to state your answer)

Answer 7

2(x+3)-1=7x  

=>2x+6-1=7x    (by expanding)

=>2x+5-7x=7x-7x( subtracting 7x from both sides)

=>-5x+5=0

=>-5(x-1)=0

=>x-1=0

=>x=1