((x*0.09)(0.2)+(x*0.09))+78=x

Solution for ((x*0.09)(0.2)+(x*0.09))+78=x equation:

Simplifying
((x * 0.09)(0.2) + (x * 0.09)) + 78 = x

Reorder the terms for easier multiplication:
((0.09x)(0.2) + (x * 0.09)) + 78 = x

Remove parenthesis around (0.09x)
(0.09x(0.2) + (x * 0.09)) + 78 = x

Reorder the terms for easier multiplication:
(0.09 * 0.2x + (x * 0.09)) + 78 = x

Multiply 0.09 * 0.2
(0.018x + (x * 0.09)) + 78 = x

Reorder the terms for easier multiplication:
(0.018x + (0.09x)) + 78 = x

Combine like terms: 0.018x + (0.09x) = 0.108x
(0.108x) + 78 = x
(0.108x) + 78 = x

Reorder the terms:
78 + (0.108x) = x

Solving
78 + (0.108x) = 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 + (0.108x) + -1x = x + -1x

Combine like terms: (0.108x) + -1x = -0.892x
78 + -0.892x = x + -1x

Combine like terms: x + -1x = 0
78 + -0.892x = 0

Add '-78' to each side of the equation.
78 + -78 + -0.892x = 0 + -78

Combine like terms: 78 + -78 = 0
0 + -0.892x = 0 + -78
-0.892x = 0 + -78

Combine like terms: 0 + -78 = -78
-0.892x = -78

Divide each side by '-0.892'.
x = 87.44394619

Simplifying
x = 87.44394619