526.50=x-x*0.10

Solution for 526.50=x-x*0.10 equation:

Simplifying
526.50 = x + -1x * 0.10

Reorder the terms for easier multiplication:
526.50 = x + -1 * 0.10x

Multiply -1 * 0.10
526.50 = x + -0.1x

Combine like terms: x + -0.1x = 0.9x
526.50 = 0.9x

Solving
526.50 = 0.9x

Solving for variable 'x'.

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

Add '-0.9x' to each side of the equation.
526.50 + -0.9x = 0.9x + -0.9x

Combine like terms: 0.9x + -0.9x = 0.0
526.50 + -0.9x = 0.0

Add '-526.50' to each side of the equation.
526.50 + -526.50 + -0.9x = 0.0 + -526.50

Combine like terms: 526.50 + -526.50 = 0.00
0.00 + -0.9x = 0.0 + -526.50
-0.9x = 0.0 + -526.50

Combine like terms: 0.0 + -526.50 = -526.5
-0.9x = -526.5

Divide each side by '-0.9'.
x = 585

Simplifying
x = 585