13x-12=10x-13

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Solution for 13x-12=10x-13 equation:


Simplifying
13x + -12 = 10x + -13

Reorder the terms:
-12 + 13x = 10x + -13

Reorder the terms:
-12 + 13x = -13 + 10x

Solving
-12 + 13x = -13 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-12 + 13x + -10x = -13 + 10x + -10x

Combine like terms: 13x + -10x = 3x
-12 + 3x = -13 + 10x + -10x

Combine like terms: 10x + -10x = 0
-12 + 3x = -13 + 0
-12 + 3x = -13

Add '12' to each side of the equation.
-12 + 12 + 3x = -13 + 12

Combine like terms: -12 + 12 = 0
0 + 3x = -13 + 12
3x = -13 + 12

Combine like terms: -13 + 12 = -1
3x = -1

Divide each side by '3'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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