20(5x+6)-12(2x+1)=15(x-5)

Solution for 20(5x+6)-12(2x+1)=15(x-5) equation:

Simplifying
20(5x + 6) + -12(2x + 1) = 15(x + -5)

Reorder the terms:
20(6 + 5x) + -12(2x + 1) = 15(x + -5)
(6 * 20 + 5x * 20) + -12(2x + 1) = 15(x + -5)
(120 + 100x) + -12(2x + 1) = 15(x + -5)

Reorder the terms:
120 + 100x + -12(1 + 2x) = 15(x + -5)
120 + 100x + (1 * -12 + 2x * -12) = 15(x + -5)
120 + 100x + (-12 + -24x) = 15(x + -5)

Reorder the terms:
120 + -12 + 100x + -24x = 15(x + -5)

Combine like terms: 120 + -12 = 108
108 + 100x + -24x = 15(x + -5)

Combine like terms: 100x + -24x = 76x
108 + 76x = 15(x + -5)

Reorder the terms:
108 + 76x = 15(-5 + x)
108 + 76x = (-5 * 15 + x * 15)
108 + 76x = (-75 + 15x)

Solving
108 + 76x = -75 + 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.
108 + 76x + -15x = -75 + 15x + -15x

Combine like terms: 76x + -15x = 61x
108 + 61x = -75 + 15x + -15x

Combine like terms: 15x + -15x = 0
108 + 61x = -75 + 0
108 + 61x = -75

Add '-108' to each side of the equation.
108 + -108 + 61x = -75 + -108

Combine like terms: 108 + -108 = 0
0 + 61x = -75 + -108
61x = -75 + -108

Combine like terms: -75 + -108 = -183
61x = -183

Divide each side by '61'.
x = -3

Simplifying
x = -3