1=x(.08)+(1-x)(1.15)

Solution for 1=x(.08)+(1-x)(1.15) equation:

Simplifying
1 = x(0.08) + (1 + -1x)(1.15)

Reorder the terms for easier multiplication:
1 = 0.08x + (1 + -1x)(1.15)

Reorder the terms for easier multiplication:
1 = 0.08x + 1.15(1 + -1x)
1 = 0.08x + (1 * 1.15 + -1x * 1.15)
1 = 0.08x + (1.15 + -1.15x)

Reorder the terms:
1 = 1.15 + 0.08x + -1.15x

Combine like terms: 0.08x + -1.15x = -1.07x
1 = 1.15 + -1.07x

Solving
1 = 1.15 + -1.07x

Solving for variable 'x'.

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

Add '1.07x' to each side of the equation.
1 + 1.07x = 1.15 + -1.07x + 1.07x

Combine like terms: -1.07x + 1.07x = 0.00
1 + 1.07x = 1.15 + 0.00
1 + 1.07x = 1.15

Add '-1' to each side of the equation.
1 + -1 + 1.07x = 1.15 + -1

Combine like terms: 1 + -1 = 0
0 + 1.07x = 1.15 + -1
1.07x = 1.15 + -1

Combine like terms: 1.15 + -1 = 0.15
1.07x = 0.15

Divide each side by '1.07'.
x = 0.1401869159

Simplifying
x = 0.1401869159