((x*0.10)(0.2)+(x*0.10))+78=x

Solution for ((x*0.10)(0.2)+(x*0.10))+78=x equation:

Simplifying
((x * 0.10)(0.2) + (x * 0.10)) + 78 = x

Reorder the terms for easier multiplication:
((0.10x)(0.2) + (x * 0.10)) + 78 = x

Remove parenthesis around (0.10x)
(0.10x(0.2) + (x * 0.10)) + 78 = x

Reorder the terms for easier multiplication:
(0.10 * 0.2x + (x * 0.10)) + 78 = x

Multiply 0.10 * 0.2
(0.02x + (x * 0.10)) + 78 = x

Reorder the terms for easier multiplication:
(0.02x + (0.10x)) + 78 = x

Combine like terms: 0.02x + (0.10x) = 0.12x
(0.12x) + 78 = x
(0.12x) + 78 = x

Reorder the terms:
78 + (0.12x) = x

Solving
78 + (0.12x) = 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 + (0.12x) + -1x = x + -1x

Combine like terms: (0.12x) + -1x = -0.88x
78 + -0.88x = x + -1x

Combine like terms: x + -1x = 0
78 + -0.88x = 0

Add '-78' to each side of the equation.
78 + -78 + -0.88x = 0 + -78

Combine like terms: 78 + -78 = 0
0 + -0.88x = 0 + -78
-0.88x = 0 + -78

Combine like terms: 0 + -78 = -78
-0.88x = -78

Divide each side by '-0.88'.
x = 88.63636364

Simplifying
x = 88.63636364