109=.09x+x

Solution for 109=.09x+x equation:

Simplifying
109 = 0.09x + x

Combine like terms: 0.09x + x = 1.09x
109 = 1.09x

Solving
109 = 1.09x

Solving for variable 'x'.

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

Add '-1.09x' to each side of the equation.
109 + -1.09x = 1.09x + -1.09x

Combine like terms: 1.09x + -1.09x = 0.00
109 + -1.09x = 0.00

Add '-109' to each side of the equation.
109 + -109 + -1.09x = 0.00 + -109

Combine like terms: 109 + -109 = 0
0 + -1.09x = 0.00 + -109
-1.09x = 0.00 + -109

Combine like terms: 0.00 + -109 = -109
-1.09x = -109

Divide each side by '-1.09'.
x = 100

Simplifying
x = 100