4x+6=x-13

Solution for 4x+6=x-13 equation:

Simplifying
4x + 6 = x + -13

Reorder the terms:
6 + 4x = x + -13

Reorder the terms:
6 + 4x = -13 + x

Solving
6 + 4x = -13 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
6 + 4x + -1x = -13 + x + -1x

Combine like terms: 4x + -1x = 3x
6 + 3x = -13 + x + -1x

Combine like terms: x + -1x = 0
6 + 3x = -13 + 0
6 + 3x = -13

Add '-6' to each side of the equation.
6 + -6 + 3x = -13 + -6

Combine like terms: 6 + -6 = 0
0 + 3x = -13 + -6
3x = -13 + -6

Combine like terms: -13 + -6 = -19
3x = -19

Divide each side by '3'.
x = -6.333333333

Simplifying
x = -6.333333333