.1535=x+(x+.057)(1.2)(1-.35)

Solution for .1535=x+(x+.057)(1.2)(1-.35) equation:

Simplifying
0.1535 = x + (x + 0.057)(1.2)(1 + -0.35)

Reorder the terms:
0.1535 = x + (0.057 + x)(1.2)(1 + -0.35)

Combine like terms: 1 + -0.35 = 0.65
0.1535 = x + (0.057 + x) * 1.2(0.65)

Reorder the terms for easier multiplication:
0.1535 = x + 1.2 * 0.65(0.057 + x)

Multiply 1.2 * 0.65
0.1535 = x + 0.78(0.057 + x)
0.1535 = x + (0.057 * 0.78 + x * 0.78)
0.1535 = x + (0.04446 + 0.78x)

Reorder the terms:
0.1535 = 0.04446 + x + 0.78x

Combine like terms: x + 0.78x = 1.78x
0.1535 = 0.04446 + 1.78x

Solving
0.1535 = 0.04446 + 1.78x

Solving for variable 'x'.

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

Add '-1.78x' to each side of the equation.
0.1535 + -1.78x = 0.04446 + 1.78x + -1.78x

Combine like terms: 1.78x + -1.78x = 0.00
0.1535 + -1.78x = 0.04446 + 0.00
0.1535 + -1.78x = 0.04446

Add '-0.1535' to each side of the equation.
0.1535 + -0.1535 + -1.78x = 0.04446 + -0.1535

Combine like terms: 0.1535 + -0.1535 = 0.0000
0.0000 + -1.78x = 0.04446 + -0.1535
-1.78x = 0.04446 + -0.1535

Combine like terms: 0.04446 + -0.1535 = -0.10904
-1.78x = -0.10904

Divide each side by '-1.78'.
x = 0.06125842697

Simplifying
x = 0.06125842697