1.25=x+0.25(x-0)

Solution for 1.25=x+0.25(x-0) equation:

Simplifying
1.25 = x + 0.25(x + 0)

Reorder the terms:
1.25 = x + 0.25(0 + x)
Remove the zero:
1.25 = x + 0.25(x)

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

Solving
1.25 = 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.
1.25 + -1.25x = 1.25x + -1.25x

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

Add '-1.25' to each side of the equation.
1.25 + -1.25 + -1.25x = 0.00 + -1.25

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

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

Divide each side by '-1.25'.
x = 1

Simplifying
x = 1