Question

Imagine you are teaching a fellow student how to solve:
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.

Answer 1

First, expand the terms...
3 − 5(x + 2) = 3(x + 1) + 6
3 - 5(x) -5 (2) = 3(x) + 1(3) +6
3 - 5x - 10 = 3x + 3 +6

Then, add the like terms
(3-10) -5x = 3x + (3+6)
-7 -5x = 3x +9

Then, move the term with variable x on one side and the constant term on the other side
-7 - 5x +( 5x -9) = 3x + 9 +( 5x -9)
-16 = 8x

Divide both sides by the coefficient of x (which is 8 in this case)
-16/8 = 8x/8
-2 = x
Make x on the left ._.
x=-2

Obviously, I'm not a good 'teacher'...

Answer 2

welcome~