-5(2x-25)=2(x-1)-17

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Solution for -5(2x-25)=2(x-1)-17 equation: 


Simplifying
-5(2x + -25) = 2(x + -1) + -17

Reorder the terms:
-5(-25 + 2x) = 2(x + -1) + -17
(-25 * -5 + 2x * -5) = 2(x + -1) + -17
(125 + -10x) = 2(x + -1) + -17

Reorder the terms:
125 + -10x = 2(-1 + x) + -17
125 + -10x = (-1 * 2 + x * 2) + -17
125 + -10x = (-2 + 2x) + -17

Reorder the terms:
125 + -10x = -2 + -17 + 2x

Combine like terms: -2 + -17 = -19
125 + -10x = -19 + 2x

Solving
125 + -10x = -19 + 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.
125 + -10x + -2x = -19 + 2x + -2x

Combine like terms: -10x + -2x = -12x
125 + -12x = -19 + 2x + -2x

Combine like terms: 2x + -2x = 0
125 + -12x = -19 + 0
125 + -12x = -19

Add '-125' to each side of the equation.
125 + -125 + -12x = -19 + -125

Combine like terms: 125 + -125 = 0
0 + -12x = -19 + -125
-12x = -19 + -125

Combine like terms: -19 + -125 = -144
-12x = -144

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

Simplifying
x = 12

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