0.1(x+6)=2+2(0.3x+0.8)

Solution for 0.1(x+6)=2+2(0.3x+0.8) equation:

Simplifying
0.1(x + 6) = 2 + 2(0.3x + 0.8)

Reorder the terms:
0.1(6 + x) = 2 + 2(0.3x + 0.8)
(6 * 0.1 + x * 0.1) = 2 + 2(0.3x + 0.8)
(0.6 + 0.1x) = 2 + 2(0.3x + 0.8)

Reorder the terms:
0.6 + 0.1x = 2 + 2(0.8 + 0.3x)
0.6 + 0.1x = 2 + (0.8 * 2 + 0.3x * 2)
0.6 + 0.1x = 2 + (1.6 + 0.6x)

Combine like terms: 2 + 1.6 = 3.6
0.6 + 0.1x = 3.6 + 0.6x

Solving
0.6 + 0.1x = 3.6 + 0.6x

Solving for variable 'x'.

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

Add '-0.6x' to each side of the equation.
0.6 + 0.1x + -0.6x = 3.6 + 0.6x + -0.6x

Combine like terms: 0.1x + -0.6x = -0.5x
0.6 + -0.5x = 3.6 + 0.6x + -0.6x

Combine like terms: 0.6x + -0.6x = 0.0
0.6 + -0.5x = 3.6 + 0.0
0.6 + -0.5x = 3.6

Add '-0.6' to each side of the equation.
0.6 + -0.6 + -0.5x = 3.6 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + -0.5x = 3.6 + -0.6
-0.5x = 3.6 + -0.6

Combine like terms: 3.6 + -0.6 = 3
-0.5x = 3

Divide each side by '-0.5'.
x = -6

Simplifying
x = -6