-5(2x-5)=2(x-9)-5

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Solution for -5(2x-5)=2(x-9)-5 equation: 


Simplifying
-5(2x + -5) = 2(x + -9) + -5

Reorder the terms:
-5(-5 + 2x) = 2(x + -9) + -5
(-5 * -5 + 2x * -5) = 2(x + -9) + -5
(25 + -10x) = 2(x + -9) + -5

Reorder the terms:
25 + -10x = 2(-9 + x) + -5
25 + -10x = (-9 * 2 + x * 2) + -5
25 + -10x = (-18 + 2x) + -5

Reorder the terms:
25 + -10x = -18 + -5 + 2x

Combine like terms: -18 + -5 = -23
25 + -10x = -23 + 2x

Solving
25 + -10x = -23 + 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.
25 + -10x + -2x = -23 + 2x + -2x

Combine like terms: -10x + -2x = -12x
25 + -12x = -23 + 2x + -2x

Combine like terms: 2x + -2x = 0
25 + -12x = -23 + 0
25 + -12x = -23

Add '-25' to each side of the equation.
25 + -25 + -12x = -23 + -25

Combine like terms: 25 + -25 = 0
0 + -12x = -23 + -25
-12x = -23 + -25

Combine like terms: -23 + -25 = -48
-12x = -48

Divide each side by '-12'.
x = 4

Simplifying
x = 4

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