Question

Solve for x: 3(x + 1) = −2(x − 1) + 6

Answer 1

x = 1

Explanation:

`3(x + 1) = −2(x − 1) + 6`

Expand the terms in the bracket and simplify

That's

`3x + 3 = - 2x + 2 + 6 \\ 3x + 3 = - 2x + 8`

Add 2x to both sides of the equation

`3x + 2x + 3 = 2x - 2x + 8 \\ 5x + 3 = 8`

Subtract 3 from both sides of the equation

`5x + 3 - 3 = 8 - 3 \\ 5x = 5`

Divide both sides by 5

`(5x)/(5) = (5)/(5) \\`

We have the final answer as

x = 1

Hope this helps you