2x+9+3x+15=16x-85-3x+13

Solution for 2x+9+3x+15=16x-85-3x+13 equation:

Simplifying
2x + 9 + 3x + 15 = 16x + -85 + -3x + 13

Reorder the terms:
9 + 15 + 2x + 3x = 16x + -85 + -3x + 13

Combine like terms: 9 + 15 = 24
24 + 2x + 3x = 16x + -85 + -3x + 13

Combine like terms: 2x + 3x = 5x
24 + 5x = 16x + -85 + -3x + 13

Reorder the terms:
24 + 5x = -85 + 13 + 16x + -3x

Combine like terms: -85 + 13 = -72
24 + 5x = -72 + 16x + -3x

Combine like terms: 16x + -3x = 13x
24 + 5x = -72 + 13x

Solving
24 + 5x = -72 + 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.
24 + 5x + -13x = -72 + 13x + -13x

Combine like terms: 5x + -13x = -8x
24 + -8x = -72 + 13x + -13x

Combine like terms: 13x + -13x = 0
24 + -8x = -72 + 0
24 + -8x = -72

Add '-24' to each side of the equation.
24 + -24 + -8x = -72 + -24

Combine like terms: 24 + -24 = 0
0 + -8x = -72 + -24
-8x = -72 + -24

Combine like terms: -72 + -24 = -96
-8x = -96

Divide each side by '-8'.
x = 12

Simplifying
x = 12