((x*.15)*.2)+78=x

Solution for ((x*.15)*.2)+78=x equation:

Simplifying
((x * 0.15) * 0.2) + 78 = x

Reorder the terms for easier multiplication:
((0.15x) * 0.2) + 78 = x

Remove parenthesis around (0.15x)
(0.15x * 0.2) + 78 = x

Reorder the terms for easier multiplication:
(0.15 * 0.2x) + 78 = x

Multiply 0.15 * 0.2
(0.03x) + 78 = x

Reorder the terms:
78 + (0.03x) = x

Solving
78 + (0.03x) = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
78 + (0.03x) + -1x = x + -1x

Combine like terms: (0.03x) + -1x = -0.97x
78 + -0.97x = x + -1x

Combine like terms: x + -1x = 0
78 + -0.97x = 0

Add '-78' to each side of the equation.
78 + -78 + -0.97x = 0 + -78

Combine like terms: 78 + -78 = 0
0 + -0.97x = 0 + -78
-0.97x = 0 + -78

Combine like terms: 0 + -78 = -78
-0.97x = -78

Divide each side by '-0.97'.
x = 80.41237113

Simplifying
x = 80.41237113