32(x+4)-20(x+5)=x

Solution for 32(x+4)-20(x+5)=x equation:

Simplifying
32(x + 4) + -20(x + 5) = x

Reorder the terms:
32(4 + x) + -20(x + 5) = x
(4 * 32 + x * 32) + -20(x + 5) = x
(128 + 32x) + -20(x + 5) = x

Reorder the terms:
128 + 32x + -20(5 + x) = x
128 + 32x + (5 * -20 + x * -20) = x
128 + 32x + (-100 + -20x) = x

Reorder the terms:
128 + -100 + 32x + -20x = x

Combine like terms: 128 + -100 = 28
28 + 32x + -20x = x

Combine like terms: 32x + -20x = 12x
28 + 12x = x

Solving
28 + 12x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
28 + 12x + -1x = x + -1x

Combine like terms: 12x + -1x = 11x
28 + 11x = x + -1x

Combine like terms: x + -1x = 0
28 + 11x = 0

Add '-28' to each side of the equation.
28 + -28 + 11x = 0 + -28

Combine like terms: 28 + -28 = 0
0 + 11x = 0 + -28
11x = 0 + -28

Combine like terms: 0 + -28 = -28
11x = -28

Divide each side by '11'.
x = -2.545454545

Simplifying
x = -2.545454545