0.08x+0.32(110-x)=0.27(110)

Solution for 0.08x+0.32(110-x)=0.27(110) equation:

Simplifying
0.08x + 0.32(110 + -1x) = 0.27(110)
0.08x + (110 * 0.32 + -1x * 0.32) = 0.27(110)
0.08x + (35.2 + -0.32x) = 0.27(110)

Reorder the terms:
35.2 + 0.08x + -0.32x = 0.27(110)

Combine like terms: 0.08x + -0.32x = -0.24x
35.2 + -0.24x = 0.27(110)

Multiply 0.27 * 110
35.2 + -0.24x = 29.7

Solving
35.2 + -0.24x = 29.7

Solving for variable 'x'.

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

Add '-35.2' to each side of the equation.
35.2 + -35.2 + -0.24x = 29.7 + -35.2

Combine like terms: 35.2 + -35.2 = 0.0
0.0 + -0.24x = 29.7 + -35.2
-0.24x = 29.7 + -35.2

Combine like terms: 29.7 + -35.2 = -5.5
-0.24x = -5.5

Divide each side by '-0.24'.
x = 22.91666667

Simplifying
x = 22.91666667