((x*0.13)(0.2)+(x*0.13))+78=x

Solution for ((x*0.13)(0.2)+(x*0.13))+78=x equation:

Simplifying
((x * 0.13)(0.2) + (x * 0.13)) + 78 = x

Reorder the terms for easier multiplication:
((0.13x)(0.2) + (x * 0.13)) + 78 = x

Remove parenthesis around (0.13x)
(0.13x(0.2) + (x * 0.13)) + 78 = x

Reorder the terms for easier multiplication:
(0.13 * 0.2x + (x * 0.13)) + 78 = x

Multiply 0.13 * 0.2
(0.026x + (x * 0.13)) + 78 = x

Reorder the terms for easier multiplication:
(0.026x + (0.13x)) + 78 = x

Combine like terms: 0.026x + (0.13x) = 0.156x
(0.156x) + 78 = x
(0.156x) + 78 = x

Reorder the terms:
78 + (0.156x) = x

Solving
78 + (0.156x) = 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 + (0.156x) + -1x = x + -1x

Combine like terms: (0.156x) + -1x = -0.844x
78 + -0.844x = x + -1x

Combine like terms: x + -1x = 0
78 + -0.844x = 0

Add '-78' to each side of the equation.
78 + -78 + -0.844x = 0 + -78

Combine like terms: 78 + -78 = 0
0 + -0.844x = 0 + -78
-0.844x = 0 + -78

Combine like terms: 0 + -78 = -78
-0.844x = -78

Divide each side by '-0.844'.
x = 92.41706161

Simplifying
x = 92.41706161