2x-6=x-13

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

Simplifying
2x + -6 = x + -13

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

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

Solving
-6 + 2x = -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 + 2x + -1x = -13 + x + -1x

Combine like terms: 2x + -1x = 1x
-6 + 1x = -13 + x + -1x

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

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

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

Combine like terms: -13 + 6 = -7
1x = -7

Divide each side by '1'.
x = -7

Simplifying
x = -7