0.6(x+1)=0.2(4x-2)

Solution for 0.6(x+1)=0.2(4x-2) equation:

Simplifying
0.6(x + 1) = 0.2(4x + -2)

Reorder the terms:
0.6(1 + x) = 0.2(4x + -2)
(1 * 0.6 + x * 0.6) = 0.2(4x + -2)
(0.6 + 0.6x) = 0.2(4x + -2)

Reorder the terms:
0.6 + 0.6x = 0.2(-2 + 4x)
0.6 + 0.6x = (-2 * 0.2 + 4x * 0.2)
0.6 + 0.6x = (-0.4 + 0.8x)

Solving
0.6 + 0.6x = -0.4 + 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.
0.6 + 0.6x + -0.8x = -0.4 + 0.8x + -0.8x

Combine like terms: 0.6x + -0.8x = -0.2x
0.6 + -0.2x = -0.4 + 0.8x + -0.8x

Combine like terms: 0.8x + -0.8x = 0.0
0.6 + -0.2x = -0.4 + 0.0
0.6 + -0.2x = -0.4

Add '-0.6' to each side of the equation.
0.6 + -0.6 + -0.2x = -0.4 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + -0.2x = -0.4 + -0.6
-0.2x = -0.4 + -0.6

Combine like terms: -0.4 + -0.6 = -1
-0.2x = -1

Divide each side by '-0.2'.
x = 5

Simplifying
x = 5