-5(2x-2)=2(x-37)-37

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Solution for -5(2x-2)=2(x-37)-37 equation: 


Simplifying
-5(2x + -2) = 2(x + -37) + -37

Reorder the terms:
-5(-2 + 2x) = 2(x + -37) + -37
(-2 * -5 + 2x * -5) = 2(x + -37) + -37
(10 + -10x) = 2(x + -37) + -37

Reorder the terms:
10 + -10x = 2(-37 + x) + -37
10 + -10x = (-37 * 2 + x * 2) + -37
10 + -10x = (-74 + 2x) + -37

Reorder the terms:
10 + -10x = -74 + -37 + 2x

Combine like terms: -74 + -37 = -111
10 + -10x = -111 + 2x

Solving
10 + -10x = -111 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
10 + -10x + -2x = -111 + 2x + -2x

Combine like terms: -10x + -2x = -12x
10 + -12x = -111 + 2x + -2x

Combine like terms: 2x + -2x = 0
10 + -12x = -111 + 0
10 + -12x = -111

Add '-10' to each side of the equation.
10 + -10 + -12x = -111 + -10

Combine like terms: 10 + -10 = 0
0 + -12x = -111 + -10
-12x = -111 + -10

Combine like terms: -111 + -10 = -121
-12x = -121

Divide each side by '-12'.
x = 10.08333333

Simplifying
x = 10.08333333

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