-5x+7=5x-13

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Solution for -5x+7=5x-13 equation:


Simplifying
-5x + 7 = 5x + -13

Reorder the terms:
7 + -5x = 5x + -13

Reorder the terms:
7 + -5x = -13 + 5x

Solving
7 + -5x = -13 + 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.
7 + -5x + -5x = -13 + 5x + -5x

Combine like terms: -5x + -5x = -10x
7 + -10x = -13 + 5x + -5x

Combine like terms: 5x + -5x = 0
7 + -10x = -13 + 0
7 + -10x = -13

Add '-7' to each side of the equation.
7 + -7 + -10x = -13 + -7

Combine like terms: 7 + -7 = 0
0 + -10x = -13 + -7
-10x = -13 + -7

Combine like terms: -13 + -7 = -20
-10x = -20

Divide each side by '-10'.
x = 2

Simplifying
x = 2

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