Question

Solve for x: 3(x + 1) = −2(x − 1) + 6

Answer 1

Answer:

x = 1

Step-by-step 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

$\frac{5x}{5} = \frac{5}{5}$

We have the final answer as

x = 1

Hope this helps you