-5(3x-23)=2(x-25)-5

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Solution for -5(3x-23)=2(x-25)-5 equation: 


Simplifying
-5(3x + -23) = 2(x + -25) + -5

Reorder the terms:
-5(-23 + 3x) = 2(x + -25) + -5
(-23 * -5 + 3x * -5) = 2(x + -25) + -5
(115 + -15x) = 2(x + -25) + -5

Reorder the terms:
115 + -15x = 2(-25 + x) + -5
115 + -15x = (-25 * 2 + x * 2) + -5
115 + -15x = (-50 + 2x) + -5

Reorder the terms:
115 + -15x = -50 + -5 + 2x

Combine like terms: -50 + -5 = -55
115 + -15x = -55 + 2x

Solving
115 + -15x = -55 + 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 + -15x + -2x = -55 + 2x + -2x

Combine like terms: -15x + -2x = -17x
115 + -17x = -55 + 2x + -2x

Combine like terms: 2x + -2x = 0
115 + -17x = -55 + 0
115 + -17x = -55

Add '-115' to each side of the equation.
115 + -115 + -17x = -55 + -115

Combine like terms: 115 + -115 = 0
0 + -17x = -55 + -115
-17x = -55 + -115

Combine like terms: -55 + -115 = -170
-17x = -170

Divide each side by '-17'.
x = 10

Simplifying
x = 10

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