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

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

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

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

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

Solving
0.6 + 0.8x = -0.6 + 2.4x

Solving for variable 'x'.

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

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

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

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

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

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

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

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

Simplifying
x = 0.75