15=x(-33.6)+(1-x)(33.6)

Solution for 15=x(-33.6)+(1-x)(33.6) equation:

Simplifying
15 = x(-33.6) + (1 + -1x)(33.6)

Reorder the terms for easier multiplication:
15 = -33.6x + (1 + -1x)(33.6)

Reorder the terms for easier multiplication:
15 = -33.6x + 33.6(1 + -1x)
15 = -33.6x + (1 * 33.6 + -1x * 33.6)
15 = -33.6x + (33.6 + -33.6x)

Reorder the terms:
15 = 33.6 + -33.6x + -33.6x

Combine like terms: -33.6x + -33.6x = -67.2x
15 = 33.6 + -67.2x

Solving
15 = 33.6 + -67.2x

Solving for variable 'x'.

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

Add '67.2x' to each side of the equation.
15 + 67.2x = 33.6 + -67.2x + 67.2x

Combine like terms: -67.2x + 67.2x = 0.0
15 + 67.2x = 33.6 + 0.0
15 + 67.2x = 33.6

Add '-15' to each side of the equation.
15 + -15 + 67.2x = 33.6 + -15

Combine like terms: 15 + -15 = 0
0 + 67.2x = 33.6 + -15
67.2x = 33.6 + -15

Combine like terms: 33.6 + -15 = 18.6
67.2x = 18.6

Divide each side by '67.2'.
x = 0.2767857143

Simplifying
x = 0.2767857143