-5(2x-23)=2(x-1)-27

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Solution for -5(2x-23)=2(x-1)-27 equation: 


Simplifying
-5(2x + -23) = 2(x + -1) + -27

Reorder the terms:
-5(-23 + 2x) = 2(x + -1) + -27
(-23 * -5 + 2x * -5) = 2(x + -1) + -27
(115 + -10x) = 2(x + -1) + -27

Reorder the terms:
115 + -10x = 2(-1 + x) + -27
115 + -10x = (-1 * 2 + x * 2) + -27
115 + -10x = (-2 + 2x) + -27

Reorder the terms:
115 + -10x = -2 + -27 + 2x

Combine like terms: -2 + -27 = -29
115 + -10x = -29 + 2x

Solving
115 + -10x = -29 + 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.
115 + -10x + -2x = -29 + 2x + -2x

Combine like terms: -10x + -2x = -12x
115 + -12x = -29 + 2x + -2x

Combine like terms: 2x + -2x = 0
115 + -12x = -29 + 0
115 + -12x = -29

Add '-115' to each side of the equation.
115 + -115 + -12x = -29 + -115

Combine like terms: 115 + -115 = 0
0 + -12x = -29 + -115
-12x = -29 + -115

Combine like terms: -29 + -115 = -144
-12x = -144

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

Simplifying
x = 12

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