2x-5(x-5)=-3+2x+8

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Solution for 2x-5(x-5)=-3+2x+8 equation: 


Simplifying
2x + -5(x + -5) = -3 + 2x + 8

Reorder the terms:
2x + -5(-5 + x) = -3 + 2x + 8
2x + (-5 * -5 + x * -5) = -3 + 2x + 8
2x + (25 + -5x) = -3 + 2x + 8

Reorder the terms:
25 + 2x + -5x = -3 + 2x + 8

Combine like terms: 2x + -5x = -3x
25 + -3x = -3 + 2x + 8

Reorder the terms:
25 + -3x = -3 + 8 + 2x

Combine like terms: -3 + 8 = 5
25 + -3x = 5 + 2x

Solving
25 + -3x = 5 + 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 + -3x + -2x = 5 + 2x + -2x

Combine like terms: -3x + -2x = -5x
25 + -5x = 5 + 2x + -2x

Combine like terms: 2x + -2x = 0
25 + -5x = 5 + 0
25 + -5x = 5

Add '-25' to each side of the equation.
25 + -25 + -5x = 5 + -25

Combine like terms: 25 + -25 = 0
0 + -5x = 5 + -25
-5x = 5 + -25

Combine like terms: 5 + -25 = -20
-5x = -20

Divide each side by '-5'.
x = 4

Simplifying
x = 4

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