13x-8=5x-12

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Solution for 13x-8=5x-12 equation:


Simplifying
13x + -8 = 5x + -12

Reorder the terms:
-8 + 13x = 5x + -12

Reorder the terms:
-8 + 13x = -12 + 5x

Solving
-8 + 13x = -12 + 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.
-8 + 13x + -5x = -12 + 5x + -5x

Combine like terms: 13x + -5x = 8x
-8 + 8x = -12 + 5x + -5x

Combine like terms: 5x + -5x = 0
-8 + 8x = -12 + 0
-8 + 8x = -12

Add '8' to each side of the equation.
-8 + 8 + 8x = -12 + 8

Combine like terms: -8 + 8 = 0
0 + 8x = -12 + 8
8x = -12 + 8

Combine like terms: -12 + 8 = -4
8x = -4

Divide each side by '8'.
x = -0.5

Simplifying
x = -0.5

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