((x*0.08)(0.2)+(x*0.08))+78=x

Solution for ((x*0.08)(0.2)+(x*0.08))+78=x equation:

Simplifying
((x * 0.08)(0.2) + (x * 0.08)) + 78 = x

Reorder the terms for easier multiplication:
((0.08x)(0.2) + (x * 0.08)) + 78 = x

Remove parenthesis around (0.08x)
(0.08x(0.2) + (x * 0.08)) + 78 = x

Reorder the terms for easier multiplication:
(0.08 * 0.2x + (x * 0.08)) + 78 = x

Multiply 0.08 * 0.2
(0.016x + (x * 0.08)) + 78 = x

Reorder the terms for easier multiplication:
(0.016x + (0.08x)) + 78 = x

Combine like terms: 0.016x + (0.08x) = 0.096x
(0.096x) + 78 = x
(0.096x) + 78 = x

Reorder the terms:
78 + (0.096x) = x

Solving
78 + (0.096x) = 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 + (0.096x) + -1x = x + -1x

Combine like terms: (0.096x) + -1x = -0.904x
78 + -0.904x = x + -1x

Combine like terms: x + -1x = 0
78 + -0.904x = 0

Add '-78' to each side of the equation.
78 + -78 + -0.904x = 0 + -78

Combine like terms: 78 + -78 = 0
0 + -0.904x = 0 + -78
-0.904x = 0 + -78

Combine like terms: 0 + -78 = -78
-0.904x = -78

Divide each side by '-0.904'.
x = 86.28318584

Simplifying
x = 86.28318584