-2(x-2)-2=5(x+3)+36

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Solution for -2(x-2)-2=5(x+3)+36 equation: 


Simplifying
-2(x + -2) + -2 = 5(x + 3) + 36

Reorder the terms:
-2(-2 + x) + -2 = 5(x + 3) + 36
(-2 * -2 + x * -2) + -2 = 5(x + 3) + 36
(4 + -2x) + -2 = 5(x + 3) + 36

Reorder the terms:
4 + -2 + -2x = 5(x + 3) + 36

Combine like terms: 4 + -2 = 2
2 + -2x = 5(x + 3) + 36

Reorder the terms:
2 + -2x = 5(3 + x) + 36
2 + -2x = (3 * 5 + x * 5) + 36
2 + -2x = (15 + 5x) + 36

Reorder the terms:
2 + -2x = 15 + 36 + 5x

Combine like terms: 15 + 36 = 51
2 + -2x = 51 + 5x

Solving
2 + -2x = 51 + 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.
2 + -2x + -5x = 51 + 5x + -5x

Combine like terms: -2x + -5x = -7x
2 + -7x = 51 + 5x + -5x

Combine like terms: 5x + -5x = 0
2 + -7x = 51 + 0
2 + -7x = 51

Add '-2' to each side of the equation.
2 + -2 + -7x = 51 + -2

Combine like terms: 2 + -2 = 0
0 + -7x = 51 + -2
-7x = 51 + -2

Combine like terms: 51 + -2 = 49
-7x = 49

Divide each side by '-7'.
x = -7

Simplifying
x = -7

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