77.2=x+(x*.1)

Solution for 77.2=x+(x*.1) equation:

Simplifying
77.2 = x + (x * 0.1)

Reorder the terms for easier multiplication:
77.2 = x + (0.1x)

Combine like terms: x + (0.1x) = 1.1x
77.2 = 1.1x

Solving
77.2 = 1.1x

Solving for variable 'x'.

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

Add '-1.1x' to each side of the equation.
77.2 + -1.1x = 1.1x + -1.1x

Combine like terms: 1.1x + -1.1x = 0.0
77.2 + -1.1x = 0.0

Add '-77.2' to each side of the equation.
77.2 + -77.2 + -1.1x = 0.0 + -77.2

Combine like terms: 77.2 + -77.2 = 0.0
0.0 + -1.1x = 0.0 + -77.2
-1.1x = 0.0 + -77.2

Combine like terms: 0.0 + -77.2 = -77.2
-1.1x = -77.2

Divide each side by '-1.1'.
x = 70.18181818

Simplifying
x = 70.18181818