3x+31=13x-89

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Solution for 3x+31=13x-89 equation:


Simplifying
3x + 31 = 13x + -89

Reorder the terms:
31 + 3x = 13x + -89

Reorder the terms:
31 + 3x = -89 + 13x

Solving
31 + 3x = -89 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
31 + 3x + -13x = -89 + 13x + -13x

Combine like terms: 3x + -13x = -10x
31 + -10x = -89 + 13x + -13x

Combine like terms: 13x + -13x = 0
31 + -10x = -89 + 0
31 + -10x = -89

Add '-31' to each side of the equation.
31 + -31 + -10x = -89 + -31

Combine like terms: 31 + -31 = 0
0 + -10x = -89 + -31
-10x = -89 + -31

Combine like terms: -89 + -31 = -120
-10x = -120

Divide each side by '-10'.
x = 12

Simplifying
x = 12

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