-5(2x-5)=(2x-8)-7

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Solution for -5(2x-5)=(2x-8)-7 equation: 


Simplifying
-5(2x + -5) = (2x + -8) + -7

Reorder the terms:
-5(-5 + 2x) = (2x + -8) + -7
(-5 * -5 + 2x * -5) = (2x + -8) + -7
(25 + -10x) = (2x + -8) + -7

Reorder the terms:
25 + -10x = (-8 + 2x) + -7

Remove parenthesis around (-8 + 2x)
25 + -10x = -8 + 2x + -7

Reorder the terms:
25 + -10x = -8 + -7 + 2x

Combine like terms: -8 + -7 = -15
25 + -10x = -15 + 2x

Solving
25 + -10x = -15 + 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 = -15 + 2x + -2x

Combine like terms: -10x + -2x = -12x
25 + -12x = -15 + 2x + -2x

Combine like terms: 2x + -2x = 0
25 + -12x = -15 + 0
25 + -12x = -15

Add '-25' to each side of the equation.
25 + -25 + -12x = -15 + -25

Combine like terms: 25 + -25 = 0
0 + -12x = -15 + -25
-12x = -15 + -25

Combine like terms: -15 + -25 = -40
-12x = -40

Divide each side by '-12'.
x = 3.333333333

Simplifying
x = 3.333333333

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