1.66=x+(x-0.7)(0.6)(.33)

Solution for 1.66=x+(x-0.7)(0.6)(.33) equation:

Simplifying
1.66 = x + (x + -0.7)(0.6)(0.33)

Reorder the terms:
1.66 = x + (-0.7 + x)(0.6)(0.33)

Reorder the terms for easier multiplication:
1.66 = x + 0.6 * 0.33(-0.7 + x)

Multiply 0.6 * 0.33
1.66 = x + 0.198(-0.7 + x)
1.66 = x + (-0.7 * 0.198 + x * 0.198)
1.66 = x + (-0.1386 + 0.198x)

Reorder the terms:
1.66 = -0.1386 + x + 0.198x

Combine like terms: x + 0.198x = 1.198x
1.66 = -0.1386 + 1.198x

Solving
1.66 = -0.1386 + 1.198x

Solving for variable 'x'.

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

Add '-1.198x' to each side of the equation.
1.66 + -1.198x = -0.1386 + 1.198x + -1.198x

Combine like terms: 1.198x + -1.198x = 0.000
1.66 + -1.198x = -0.1386 + 0.000
1.66 + -1.198x = -0.1386

Add '-1.66' to each side of the equation.
1.66 + -1.66 + -1.198x = -0.1386 + -1.66

Combine like terms: 1.66 + -1.66 = 0.00
0.00 + -1.198x = -0.1386 + -1.66
-1.198x = -0.1386 + -1.66

Combine like terms: -0.1386 + -1.66 = -1.7986
-1.198x = -1.7986

Divide each side by '-1.198'.
x = 1.501335559

Simplifying
x = 1.501335559