Question

Imagine you are teaching a fellow student how to solve:
4 − (x + 2) = 6 − 5(x + 4)

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

4-X-2=6-5X-20;then ; 2-X=-14-5X ;then;2+14=-5X+X ;then; 16=-4X ;then "X"=-4

Answer 2

thnks

Answer 3

4 - (x+2) = 6 - 5(x+4)

Add 5(x+4) to both sides; Subtract 4 from both sides to get:

5(x+4) - (x+2) = 6 - 4

Distribute 5 across (x+4) to get:

5x + 20 -(x+2) = 2

Distribute -1 across(x+2) to get:

5x + 20 - x - 2 = 2

Place like terms together to get

5x - x + 20 - 2 = 2


Combine terms to get

4x + 18 = 2

Subtract 18 from both sides to get

4x = -16

Divide both sides by 4 to get

x = -4

Answer 4

4 − (x + 2) = 6 − 5(x + 4)
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