0.825*(8+x)=x

Solution for 0.825*(8+x)=x equation:

Simplifying
0.825(8 + x) = x
(8 * 0.825 + x * 0.825) = x
(6.6 + 0.825x) = x

Solving
6.6 + 0.825x = 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.
6.6 + 0.825x + -1x = x + -1x

Combine like terms: 0.825x + -1x = -0.175x
6.6 + -0.175x = x + -1x

Combine like terms: x + -1x = 0
6.6 + -0.175x = 0

Add '-6.6' to each side of the equation.
6.6 + -6.6 + -0.175x = 0 + -6.6

Combine like terms: 6.6 + -6.6 = 0.0
0.0 + -0.175x = 0 + -6.6
-0.175x = 0 + -6.6

Combine like terms: 0 + -6.6 = -6.6
-0.175x = -6.6

Divide each side by '-0.175'.
x = 37.71428571

Simplifying
x = 37.71428571