0.4(3-2x)-0.25=0.2(x-3)

Solution for 0.4(3-2x)-0.25=0.2(x-3) equation:

Simplifying
0.4(3 + -2x) + -0.25 = 0.2(x + -3)
(3 * 0.4 + -2x * 0.4) + -0.25 = 0.2(x + -3)
(1.2 + -0.8x) + -0.25 = 0.2(x + -3)

Reorder the terms:
1.2 + -0.25 + -0.8x = 0.2(x + -3)

Combine like terms: 1.2 + -0.25 = 0.95
0.95 + -0.8x = 0.2(x + -3)

Reorder the terms:
0.95 + -0.8x = 0.2(-3 + x)
0.95 + -0.8x = (-3 * 0.2 + x * 0.2)
0.95 + -0.8x = (-0.6 + 0.2x)

Solving
0.95 + -0.8x = -0.6 + 0.2x

Solving for variable 'x'.

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

Add '-0.2x' to each side of the equation.
0.95 + -0.8x + -0.2x = -0.6 + 0.2x + -0.2x

Combine like terms: -0.8x + -0.2x = -1x
0.95 + -1x = -0.6 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
0.95 + -1x = -0.6 + 0.0
0.95 + -1x = -0.6

Add '-0.95' to each side of the equation.
0.95 + -0.95 + -1x = -0.6 + -0.95

Combine like terms: 0.95 + -0.95 = 0.00
0.00 + -1x = -0.6 + -0.95
-1x = -0.6 + -0.95

Combine like terms: -0.6 + -0.95 = -1.55
-1x = -1.55

Divide each side by '-1'.
x = 1.55

Simplifying
x = 1.55