2x-52=15x+78

Solution for 2x-52=15x+78 equation:

Simplifying
2x + -52 = 15x + 78

Reorder the terms:
-52 + 2x = 15x + 78

Reorder the terms:
-52 + 2x = 78 + 15x

Solving
-52 + 2x = 78 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-52 + 2x + -15x = 78 + 15x + -15x

Combine like terms: 2x + -15x = -13x
-52 + -13x = 78 + 15x + -15x

Combine like terms: 15x + -15x = 0
-52 + -13x = 78 + 0
-52 + -13x = 78

Add '52' to each side of the equation.
-52 + 52 + -13x = 78 + 52

Combine like terms: -52 + 52 = 0
0 + -13x = 78 + 52
-13x = 78 + 52

Combine like terms: 78 + 52 = 130
-13x = 130

Divide each side by '-13'.
x = -10

Simplifying
x = -10