0.25=x+0.25(x-0.10)

Solution for 0.25=x+0.25(x-0.10) equation:

Simplifying
0.25 = x + 0.25(x + -0.10)

Reorder the terms:
0.25 = x + 0.25(-0.10 + x)
0.25 = x + (-0.10 * 0.25 + x * 0.25)
0.25 = x + (-0.025 + 0.25x)

Reorder the terms:
0.25 = -0.025 + x + 0.25x

Combine like terms: x + 0.25x = 1.25x
0.25 = -0.025 + 1.25x

Solving
0.25 = -0.025 + 1.25x

Solving for variable 'x'.

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

Add '-1.25x' to each side of the equation.
0.25 + -1.25x = -0.025 + 1.25x + -1.25x

Combine like terms: 1.25x + -1.25x = 0.00
0.25 + -1.25x = -0.025 + 0.00
0.25 + -1.25x = -0.025

Add '-0.25' to each side of the equation.
0.25 + -0.25 + -1.25x = -0.025 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + -1.25x = -0.025 + -0.25
-1.25x = -0.025 + -0.25

Combine like terms: -0.025 + -0.25 = -0.275
-1.25x = -0.275

Divide each side by '-1.25'.
x = 0.22

Simplifying
x = 0.22