Simplifying
10x + 5 + 0 = -2x + -3x + 80

Reorder the terms:
5 + 0 + 10x = -2x + -3x + 80

Combine like terms: 5 + 0 = 5
5 + 10x = -2x + -3x + 80

Reorder the terms:
5 + 10x = 80 + -2x + -3x

Combine like terms: -2x + -3x = -5x
5 + 10x = 80 + -5x

Solving
5 + 10x = 80 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
5 + 10x + 5x = 80 + -5x + 5x

Combine like terms: 10x + 5x = 15x
5 + 15x = 80 + -5x + 5x

Combine like terms: -5x + 5x = 0
5 + 15x = 80 + 0
5 + 15x = 80

Add '-5' to each side of the equation.
5 + -5 + 15x = 80 + -5

Combine like terms: 5 + -5 = 0
0 + 15x = 80 + -5
15x = 80 + -5

Combine like terms: 80 + -5 = 75
15x = 75

Divide each side by '15'.
x = 5

Simplifying
x = 5