8x-20+x=3(5-2x)+3(x-4)

Solution for 8x-20+x=3(5-2x)+3(x-4) equation:

Simplifying
8x + -20 + x = 3(5 + -2x) + 3(x + -4)

Reorder the terms:
-20 + 8x + x = 3(5 + -2x) + 3(x + -4)

Combine like terms: 8x + x = 9x
-20 + 9x = 3(5 + -2x) + 3(x + -4)
-20 + 9x = (5 * 3 + -2x * 3) + 3(x + -4)
-20 + 9x = (15 + -6x) + 3(x + -4)

Reorder the terms:
-20 + 9x = 15 + -6x + 3(-4 + x)
-20 + 9x = 15 + -6x + (-4 * 3 + x * 3)
-20 + 9x = 15 + -6x + (-12 + 3x)

Reorder the terms:
-20 + 9x = 15 + -12 + -6x + 3x

Combine like terms: 15 + -12 = 3
-20 + 9x = 3 + -6x + 3x

Combine like terms: -6x + 3x = -3x
-20 + 9x = 3 + -3x

Solving
-20 + 9x = 3 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-20 + 9x + 3x = 3 + -3x + 3x

Combine like terms: 9x + 3x = 12x
-20 + 12x = 3 + -3x + 3x

Combine like terms: -3x + 3x = 0
-20 + 12x = 3 + 0
-20 + 12x = 3

Add '20' to each side of the equation.
-20 + 20 + 12x = 3 + 20

Combine like terms: -20 + 20 = 0
0 + 12x = 3 + 20
12x = 3 + 20

Combine like terms: 3 + 20 = 23
12x = 23

Divide each side by '12'.
x = 1.916666667

Simplifying
x = 1.916666667