17x+12+2x+78=7x+75-3x-150

Solution for 17x+12+2x+78=7x+75-3x-150 equation:

Simplifying
17x + 12 + 2x + 78 = 7x + 75 + -3x + -150

Reorder the terms:
12 + 78 + 17x + 2x = 7x + 75 + -3x + -150

Combine like terms: 12 + 78 = 90
90 + 17x + 2x = 7x + 75 + -3x + -150

Combine like terms: 17x + 2x = 19x
90 + 19x = 7x + 75 + -3x + -150

Reorder the terms:
90 + 19x = 75 + -150 + 7x + -3x

Combine like terms: 75 + -150 = -75
90 + 19x = -75 + 7x + -3x

Combine like terms: 7x + -3x = 4x
90 + 19x = -75 + 4x

Solving
90 + 19x = -75 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
90 + 19x + -4x = -75 + 4x + -4x

Combine like terms: 19x + -4x = 15x
90 + 15x = -75 + 4x + -4x

Combine like terms: 4x + -4x = 0
90 + 15x = -75 + 0
90 + 15x = -75

Add '-90' to each side of the equation.
90 + -90 + 15x = -75 + -90

Combine like terms: 90 + -90 = 0
0 + 15x = -75 + -90
15x = -75 + -90

Combine like terms: -75 + -90 = -165
15x = -165

Divide each side by '15'.
x = -11

Simplifying
x = -11