.3(6x+12)=10-x

Solution for .3(6x+12)=10-x equation:

Simplifying
0.3(6x + 12) = 10 + -1x

Reorder the terms:
0.3(12 + 6x) = 10 + -1x
(12 * 0.3 + 6x * 0.3) = 10 + -1x
(3.6 + 1.8x) = 10 + -1x

Solving
3.6 + 1.8x = 10 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
3.6 + 1.8x + x = 10 + -1x + x

Combine like terms: 1.8x + x = 2.8x
3.6 + 2.8x = 10 + -1x + x

Combine like terms: -1x + x = 0
3.6 + 2.8x = 10 + 0
3.6 + 2.8x = 10

Add '-3.6' to each side of the equation.
3.6 + -3.6 + 2.8x = 10 + -3.6

Combine like terms: 3.6 + -3.6 = 0.0
0.0 + 2.8x = 10 + -3.6
2.8x = 10 + -3.6

Combine like terms: 10 + -3.6 = 6.4
2.8x = 6.4

Divide each side by '2.8'.
x = 2.285714286

Simplifying
x = 2.285714286