3x-5(x-5)=-2+3x-13

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Solution for 3x-5(x-5)=-2+3x-13 equation: 


Simplifying
3x + -5(x + -5) = -2 + 3x + -13

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

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

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

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

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

Solving
25 + -2x = -15 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
25 + -2x + -3x = -15 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
25 + -5x = -15 + 0
25 + -5x = -15

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

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

Combine like terms: -15 + -25 = -40
-5x = -40

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

Simplifying
x = 8

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