31x+6=13x-2

Solution for 31x+6=13x-2 equation:

Simplifying
31x + 6 = 13x + -2

Reorder the terms:
6 + 31x = 13x + -2

Reorder the terms:
6 + 31x = -2 + 13x

Solving
6 + 31x = -2 + 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 = -2 + 13x + -13x

Combine like terms: 31x + -13x = 18x
6 + 18x = -2 + 13x + -13x

Combine like terms: 13x + -13x = 0
6 + 18x = -2 + 0
6 + 18x = -2

Add '-6' to each side of the equation.
6 + -6 + 18x = -2 + -6

Combine like terms: 6 + -6 = 0
0 + 18x = -2 + -6
18x = -2 + -6

Combine like terms: -2 + -6 = -8
18x = -8

Divide each side by '18'.
x = -0.4444444444

Simplifying
x = -0.4444444444