0.8x-0.1=0.5-0.2(4-5x)

Solution for 0.8x-0.1=0.5-0.2(4-5x) equation:

Simplifying
0.8x + -0.1 = 0.5 + -0.2(4 + -5x)

Reorder the terms:
-0.1 + 0.8x = 0.5 + -0.2(4 + -5x)
-0.1 + 0.8x = 0.5 + (4 * -0.2 + -5x * -0.2)
-0.1 + 0.8x = 0.5 + (-0.8 + 1x)

Combine like terms: 0.5 + -0.8 = -0.3
-0.1 + 0.8x = -0.3 + 1x

Solving
-0.1 + 0.8x = -0.3 + 1x

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.
-0.1 + 0.8x + -1x = -0.3 + 1x + -1x

Combine like terms: 0.8x + -1x = -0.2x
-0.1 + -0.2x = -0.3 + 1x + -1x

Combine like terms: 1x + -1x = 0
-0.1 + -0.2x = -0.3 + 0
-0.1 + -0.2x = -0.3

Add '0.1' to each side of the equation.
-0.1 + 0.1 + -0.2x = -0.3 + 0.1

Combine like terms: -0.1 + 0.1 = 0.0
0.0 + -0.2x = -0.3 + 0.1
-0.2x = -0.3 + 0.1

Combine like terms: -0.3 + 0.1 = -0.2
-0.2x = -0.2

Divide each side by '-0.2'.
x = 1

Simplifying
x = 1