(4x-6)=(x-13)

Solution for (4x-6)=(x-13) equation:

Simplifying
(4x + -6) = (x + -13)

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

Remove parenthesis around (-6 + 4x)
-6 + 4x = (x + -13)

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

Remove parenthesis around (-13 + x)
-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 = -7
3x = -7

Divide each side by '3'.
x = -2.333333333

Simplifying
x = -2.333333333