.25(x-2)-.2(x-3)=.5

Solution for .25(x-2)-.2(x-3)=.5 equation:

Simplifying
0.25(x + -2) + -0.2(x + -3) = 0.5

Reorder the terms:
0.25(-2 + x) + -0.2(x + -3) = 0.5
(-2 * 0.25 + x * 0.25) + -0.2(x + -3) = 0.5
(-0.5 + 0.25x) + -0.2(x + -3) = 0.5

Reorder the terms:
-0.5 + 0.25x + -0.2(-3 + x) = 0.5
-0.5 + 0.25x + (-3 * -0.2 + x * -0.2) = 0.5
-0.5 + 0.25x + (0.6 + -0.2x) = 0.5

Reorder the terms:
-0.5 + 0.6 + 0.25x + -0.2x = 0.5

Combine like terms: -0.5 + 0.6 = 0.1
0.1 + 0.25x + -0.2x = 0.5

Combine like terms: 0.25x + -0.2x = 0.05x
0.1 + 0.05x = 0.5

Solving
0.1 + 0.05x = 0.5

Solving for variable 'x'.

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

Add '-0.1' to each side of the equation.
0.1 + -0.1 + 0.05x = 0.5 + -0.1

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + 0.05x = 0.5 + -0.1
0.05x = 0.5 + -0.1

Combine like terms: 0.5 + -0.1 = 0.4
0.05x = 0.4

Divide each side by '0.05'.
x = 8

Simplifying
x = 8