3 − 5(x + 2) = 3(x + 1) + 6

In your own words, explain the process for solving this equation. Please include your work at each step of the process along with the final answer.

Question

3 − 5(x + 2) = 3(x + 1) + 6

In your own words, explain the process for solving this equation. Please include your work at each step of the process along with the final answer.

aripotta · Answer

First, distribute the -5 into the parentheses. 

3 - 5x - 10 = 3(x + 1) + 6

Distribute the 3 into the parentheses. 

3 - 5x - 10 = 3x + 3 + 6

Combine like terms.

-5x - 7 = 3x + 9

Subtract 3x from both sides.

-8x - 7 = 9

Add 7 to both sides.

-8x = 16

Divide both sides by -8.

x = -2