.5(2x+6)=.2(x+3)+x

Solution for .5(2x+6)=.2(x+3)+x equation:

Simplifying
0.5(2x + 6) = 0.2(x + 3) + x

Reorder the terms:
0.5(6 + 2x) = 0.2(x + 3) + x
(6 * 0.5 + 2x * 0.5) = 0.2(x + 3) + x
(3 + 1x) = 0.2(x + 3) + x

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

Combine like terms: 0.2x + x = 1.2x
3 + 1x = 0.6 + 1.2x

Solving
3 + 1x = 0.6 + 1.2x

Solving for variable 'x'.

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

Add '-1.2x' to each side of the equation.
3 + 1x + -1.2x = 0.6 + 1.2x + -1.2x

Combine like terms: 1x + -1.2x = -0.2x
3 + -0.2x = 0.6 + 1.2x + -1.2x

Combine like terms: 1.2x + -1.2x = 0.0
3 + -0.2x = 0.6 + 0.0
3 + -0.2x = 0.6

Add '-3' to each side of the equation.
3 + -3 + -0.2x = 0.6 + -3

Combine like terms: 3 + -3 = 0
0 + -0.2x = 0.6 + -3
-0.2x = 0.6 + -3

Combine like terms: 0.6 + -3 = -2.4
-0.2x = -2.4

Divide each side by '-0.2'.
x = 12

Simplifying
x = 12