3x-9=13x+31

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Solution for 3x-9=13x+31 equation:


Simplifying
3x + -9 = 13x + 31

Reorder the terms:
-9 + 3x = 13x + 31

Reorder the terms:
-9 + 3x = 31 + 13x

Solving
-9 + 3x = 31 + 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.
-9 + 3x + -13x = 31 + 13x + -13x

Combine like terms: 3x + -13x = -10x
-9 + -10x = 31 + 13x + -13x

Combine like terms: 13x + -13x = 0
-9 + -10x = 31 + 0
-9 + -10x = 31

Add '9' to each side of the equation.
-9 + 9 + -10x = 31 + 9

Combine like terms: -9 + 9 = 0
0 + -10x = 31 + 9
-10x = 31 + 9

Combine like terms: 31 + 9 = 40
-10x = 40

Divide each side by '-10'.
x = -4

Simplifying
x = -4

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