2x-5(x-5)=-2+5x-13

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Solution for 2x-5(x-5)=-2+5x-13 equation:


Simplifying
2x + -5(x + -5) = -2 + 5x + -13

Reorder the terms:
2x + -5(-5 + x) = -2 + 5x + -13
2x + (-5 * -5 + x * -5) = -2 + 5x + -13
2x + (25 + -5x) = -2 + 5x + -13

Reorder the terms:
25 + 2x + -5x = -2 + 5x + -13

Combine like terms: 2x + -5x = -3x
25 + -3x = -2 + 5x + -13

Reorder the terms:
25 + -3x = -2 + -13 + 5x

Combine like terms: -2 + -13 = -15
25 + -3x = -15 + 5x

Solving
25 + -3x = -15 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.
25 + -3x + -5x = -15 + 5x + -5x

Combine like terms: -3x + -5x = -8x
25 + -8x = -15 + 5x + -5x

Combine like terms: 5x + -5x = 0
25 + -8x = -15 + 0
25 + -8x = -15

Add '-25' to each side of the equation.
25 + -25 + -8x = -15 + -25

Combine like terms: 25 + -25 = 0
0 + -8x = -15 + -25
-8x = -15 + -25

Combine like terms: -15 + -25 = -40
-8x = -40

Divide each side by '-8'.
x = 5

Simplifying
x = 5

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