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

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

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

Reorder the terms:
0.6(-1 + 4x) = 0.2(4x + 3)
(-1 * 0.6 + 4x * 0.6) = 0.2(4x + 3)
(-0.6 + 2.4x) = 0.2(4x + 3)

Reorder the terms:
-0.6 + 2.4x = 0.2(3 + 4x)
-0.6 + 2.4x = (3 * 0.2 + 4x * 0.2)
-0.6 + 2.4x = (0.6 + 0.8x)

Solving
-0.6 + 2.4x = 0.6 + 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.
-0.6 + 2.4x + -0.8x = 0.6 + 0.8x + -0.8x

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

Combine like terms: 0.8x + -0.8x = 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