0.3(4+2x)-0.1(x+2)=0

Solution for 0.3(4+2x)-0.1(x+2)=0 equation:

Simplifying
0.3(4 + 2x) + -0.1(x + 2) = 0
(4 * 0.3 + 2x * 0.3) + -0.1(x + 2) = 0
(1.2 + 0.6x) + -0.1(x + 2) = 0

Reorder the terms:
1.2 + 0.6x + -0.1(2 + x) = 0
1.2 + 0.6x + (2 * -0.1 + x * -0.1) = 0
1.2 + 0.6x + (-0.2 + -0.1x) = 0

Reorder the terms:
1.2 + -0.2 + 0.6x + -0.1x = 0

Combine like terms: 1.2 + -0.2 = 1
1 + 0.6x + -0.1x = 0

Combine like terms: 0.6x + -0.1x = 0.5x
1 + 0.5x = 0

Solving
1 + 0.5x = 0

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 0.5x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 0.5x = 0 + -1
0.5x = 0 + -1

Combine like terms: 0 + -1 = -1
0.5x = -1

Divide each side by '0.5'.
x = -2

Simplifying
x = -2