Question

What is 7/3(x-1)+1=3(x+1)

Answer 1

`x=(9)/(4)`

Explanation:

`7\left(x-1\right)+1=3\left(x+1\right)`

`\mathrm{Expand\:}7\left(x-1\right)+1:\quad 7x-6`

`\mathrm{Expand\:}3\left(x+1\right):\quad 3x+3`

`7x-6=3x+3`

Subtract 3x from both sides: 4x=9

Divide by 4: you get my answer!

Hope this helps!!

Answer 2

Simplify 7/3(x - 1) to 7(x - 1)/3

7(x - 1)/3 + 1 = 3(x + 1)

Multiply both sides by 3

7(x - 1) + 3 = 9(x + 1)

Expand

7x - 7 + 3 = 9x + 9

Simplify 7x - 7 + 3 to 7x - 4

7x - 4 = 9x + 9

Subtract 7x from both sides

-4 = 9x + 9 - 7x

Simplify 9x + 9 - 7x to 2x + 9

-4 = 2x + 9

Subtract 9 from both sides

-4 - 9 = 2x

Simplify -4 - 9 to -13

-13 = 2x

Divide both sides by 2

-13/2 = x

Switch sides

x = -13/2