78.1=x+.1x

Solution for 78.1=x+.1x equation:

Simplifying
78.1 = x + 0.1x

Combine like terms: x + 0.1x = 1.1x
78.1 = 1.1x

Solving
78.1 = 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.
78.1 + -1.1x = 1.1x + -1.1x

Combine like terms: 1.1x + -1.1x = 0.0
78.1 + -1.1x = 0.0

Add '-78.1' to each side of the equation.
78.1 + -78.1 + -1.1x = 0.0 + -78.1

Combine like terms: 78.1 + -78.1 = 0.0
0.0 + -1.1x = 0.0 + -78.1
-1.1x = 0.0 + -78.1

Combine like terms: 0.0 + -78.1 = -78.1
-1.1x = -78.1

Divide each side by '-1.1'.
x = 71

Simplifying
x = 71