13x+5=10x-12

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Solution for 13x+5=10x-12 equation:


Simplifying
13x + 5 = 10x + -12

Reorder the terms:
5 + 13x = 10x + -12

Reorder the terms:
5 + 13x = -12 + 10x

Solving
5 + 13x = -12 + 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.
5 + 13x + -10x = -12 + 10x + -10x

Combine like terms: 13x + -10x = 3x
5 + 3x = -12 + 10x + -10x

Combine like terms: 10x + -10x = 0
5 + 3x = -12 + 0
5 + 3x = -12

Add '-5' to each side of the equation.
5 + -5 + 3x = -12 + -5

Combine like terms: 5 + -5 = 0
0 + 3x = -12 + -5
3x = -12 + -5

Combine like terms: -12 + -5 = -17
3x = -17

Divide each side by '3'.
x = -5.666666667

Simplifying
x = -5.666666667

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