0.5(2x-3)-0.1=0.4(6+2x)

Solution for 0.5(2x-3)-0.1=0.4(6+2x) equation:

Simplifying
0.5(2x + -3) + -0.1 = 0.4(6 + 2x)

Reorder the terms:
0.5(-3 + 2x) + -0.1 = 0.4(6 + 2x)
(-3 * 0.5 + 2x * 0.5) + -0.1 = 0.4(6 + 2x)
(-1.5 + 1x) + -0.1 = 0.4(6 + 2x)

Reorder the terms:
-1.5 + -0.1 + 1x = 0.4(6 + 2x)

Combine like terms: -1.5 + -0.1 = -1.6
-1.6 + 1x = 0.4(6 + 2x)
-1.6 + 1x = (6 * 0.4 + 2x * 0.4)
-1.6 + 1x = (2.4 + 0.8x)

Solving
-1.6 + 1x = 2.4 + 0.8x

Solving for variable 'x'.

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

Add '-0.8x' to each side of the equation.
-1.6 + 1x + -0.8x = 2.4 + 0.8x + -0.8x

Combine like terms: 1x + -0.8x = 0.2x
-1.6 + 0.2x = 2.4 + 0.8x + -0.8x

Combine like terms: 0.8x + -0.8x = 0.0
-1.6 + 0.2x = 2.4 + 0.0
-1.6 + 0.2x = 2.4

Add '1.6' to each side of the equation.
-1.6 + 1.6 + 0.2x = 2.4 + 1.6

Combine like terms: -1.6 + 1.6 = 0.0
0.0 + 0.2x = 2.4 + 1.6
0.2x = 2.4 + 1.6

Combine like terms: 2.4 + 1.6 = 4
0.2x = 4

Divide each side by '0.2'.
x = 20

Simplifying
x = 20