0.2(4h+3)=0.6(4h-1)

Solution for 0.2(4h+3)=0.6(4h-1) equation:

Simplifying
0.2(4h + 3) = 0.6(4h + -1)

Reorder the terms:
0.2(3 + 4h) = 0.6(4h + -1)
(3 * 0.2 + 4h * 0.2) = 0.6(4h + -1)
(0.6 + 0.8h) = 0.6(4h + -1)

Reorder the terms:
0.6 + 0.8h = 0.6(-1 + 4h)
0.6 + 0.8h = (-1 * 0.6 + 4h * 0.6)
0.6 + 0.8h = (-0.6 + 2.4h)

Solving
0.6 + 0.8h = -0.6 + 2.4h

Solving for variable 'h'.

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

Add '-2.4h' to each side of the equation.
0.6 + 0.8h + -2.4h = -0.6 + 2.4h + -2.4h

Combine like terms: 0.8h + -2.4h = -1.6h
0.6 + -1.6h = -0.6 + 2.4h + -2.4h

Combine like terms: 2.4h + -2.4h = 0.0
0.6 + -1.6h = -0.6 + 0.0
0.6 + -1.6h = -0.6

Add '-0.6' to each side of the equation.
0.6 + -0.6 + -1.6h = -0.6 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + -1.6h = -0.6 + -0.6
-1.6h = -0.6 + -0.6

Combine like terms: -0.6 + -0.6 = -1.2
-1.6h = -1.2

Divide each side by '-1.6'.
h = 0.75

Simplifying
h = 0.75