7.69=x-(x(0.1))

Solution for 7.69=x-(x(0.1)) equation:

Simplifying
7.69 = x + -1(x(0.1))

Reorder the terms for easier multiplication:
7.69 = x + -1(0.1x)

Remove parenthesis around (0.1x)
7.69 = x + -1 * 0.1x

Multiply -1 * 0.1
7.69 = x + -0.1x

Combine like terms: x + -0.1x = 0.9x
7.69 = 0.9x

Solving
7.69 = 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.
7.69 + -0.9x = 0.9x + -0.9x

Combine like terms: 0.9x + -0.9x = 0.0
7.69 + -0.9x = 0.0

Add '-7.69' to each side of the equation.
7.69 + -7.69 + -0.9x = 0.0 + -7.69

Combine like terms: 7.69 + -7.69 = 0.00
0.00 + -0.9x = 0.0 + -7.69
-0.9x = 0.0 + -7.69

Combine like terms: 0.0 + -7.69 = -7.69
-0.9x = -7.69

Divide each side by '-0.9'.
x = 8.544444444

Simplifying
x = 8.544444444