0.25[85x-25(x-2)]=x

Solution for 0.25[85x-25(x-2)]=x equation:

Simplifying
0.25[85x + -25(x + -2)] = x

Reorder the terms:
0.25[85x + -25(-2 + x)] = x
0.25[85x + (-2 * -25 + x * -25)] = x
0.25[85x + (50 + -25x)] = x

Reorder the terms:
0.25[50 + 85x + -25x] = x

Combine like terms: 85x + -25x = 60x
0.25[50 + 60x] = x
[50 * 0.25 + 60x * 0.25] = x
[12.5 + 15x] = x

Solving
12.5 + 15x = 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.
12.5 + 15x + -1x = x + -1x

Combine like terms: 15x + -1x = 14x
12.5 + 14x = x + -1x

Combine like terms: x + -1x = 0
12.5 + 14x = 0

Add '-12.5' to each side of the equation.
12.5 + -12.5 + 14x = 0 + -12.5

Combine like terms: 12.5 + -12.5 = 0.0
0.0 + 14x = 0 + -12.5
14x = 0 + -12.5

Combine like terms: 0 + -12.5 = -12.5
14x = -12.5

Divide each side by '14'.
x = -0.8928571429

Simplifying
x = -0.8928571429