5x-85-4x+1=15x+10-2x+38

Solution for 5x-85-4x+1=15x+10-2x+38 equation:

Simplifying
5x + -85 + -4x + 1 = 15x + 10 + -2x + 38

Reorder the terms:
-85 + 1 + 5x + -4x = 15x + 10 + -2x + 38

Combine like terms: -85 + 1 = -84
-84 + 5x + -4x = 15x + 10 + -2x + 38

Combine like terms: 5x + -4x = 1x
-84 + 1x = 15x + 10 + -2x + 38

Reorder the terms:
-84 + 1x = 10 + 38 + 15x + -2x

Combine like terms: 10 + 38 = 48
-84 + 1x = 48 + 15x + -2x

Combine like terms: 15x + -2x = 13x
-84 + 1x = 48 + 13x

Solving
-84 + 1x = 48 + 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.
-84 + 1x + -13x = 48 + 13x + -13x

Combine like terms: 1x + -13x = -12x
-84 + -12x = 48 + 13x + -13x

Combine like terms: 13x + -13x = 0
-84 + -12x = 48 + 0
-84 + -12x = 48

Add '84' to each side of the equation.
-84 + 84 + -12x = 48 + 84

Combine like terms: -84 + 84 = 0
0 + -12x = 48 + 84
-12x = 48 + 84

Combine like terms: 48 + 84 = 132
-12x = 132

Divide each side by '-12'.
x = -11

Simplifying
x = -11