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

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


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

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

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

Solving
25 + -5x = 13 + -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 + -5x + 2x = 13 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
25 + -3x = 13 + 0
25 + -3x = 13

Add '-25' to each side of the equation.
25 + -25 + -3x = 13 + -25

Combine like terms: 25 + -25 = 0
0 + -3x = 13 + -25
-3x = 13 + -25

Combine like terms: 13 + -25 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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