2+3(-7-1)=-5(-x-7)+8

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Solution for 2+3(-7-1)=-5(-x-7)+8 equation: 


Simplifying
2 + 3(-7 + -1) = -5(-1x + -7) + 8

Combine like terms: -7 + -1 = -8
2 + 3(-8) = -5(-1x + -7) + 8

Multiply 3 * -8
2 + -24 = -5(-1x + -7) + 8

Combine like terms: 2 + -24 = -22
-22 = -5(-1x + -7) + 8

Reorder the terms:
-22 = -5(-7 + -1x) + 8
-22 = (-7 * -5 + -1x * -5) + 8
-22 = (35 + 5x) + 8

Reorder the terms:
-22 = 35 + 8 + 5x

Combine like terms: 35 + 8 = 43
-22 = 43 + 5x

Solving
-22 = 43 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.
-22 + -5x = 43 + 5x + -5x

Combine like terms: 5x + -5x = 0
-22 + -5x = 43 + 0
-22 + -5x = 43

Add '22' to each side of the equation.
-22 + 22 + -5x = 43 + 22

Combine like terms: -22 + 22 = 0
0 + -5x = 43 + 22
-5x = 43 + 22

Combine like terms: 43 + 22 = 65
-5x = 65

Divide each side by '-5'.
x = -13

Simplifying
x = -13

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