31x+6=13x-6

Solution for 31x+6=13x-6 equation:

Simplifying
31x + 6 = 13x + -6

Reorder the terms:
6 + 31x = 13x + -6

Reorder the terms:
6 + 31x = -6 + 13x

Solving
6 + 31x = -6 + 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.
6 + 31x + -13x = -6 + 13x + -13x

Combine like terms: 31x + -13x = 18x
6 + 18x = -6 + 13x + -13x

Combine like terms: 13x + -13x = 0
6 + 18x = -6 + 0
6 + 18x = -6

Add '-6' to each side of the equation.
6 + -6 + 18x = -6 + -6

Combine like terms: 6 + -6 = 0
0 + 18x = -6 + -6
18x = -6 + -6

Combine like terms: -6 + -6 = -12
18x = -12

Divide each side by '18'.
x = -0.6666666667

Simplifying
x = -0.6666666667