2(x+4)=6+x

Solution for 2(x+4)=6+x equation:

Simplifying
2(x + 4) = 6 + x

Reorder the terms:
2(4 + x) = 6 + x
(4 * 2 + x * 2) = 6 + x
(8 + 2x) = 6 + x

Solving
8 + 2x = 6 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
8 + 2x + -1x = 6 + x + -1x

Combine like terms: 2x + -1x = 1x
8 + 1x = 6 + x + -1x

Combine like terms: x + -1x = 0
8 + 1x = 6 + 0
8 + 1x = 6

Add '-8' to each side of the equation.
8 + -8 + 1x = 6 + -8

Combine like terms: 8 + -8 = 0
0 + 1x = 6 + -8
1x = 6 + -8

Combine like terms: 6 + -8 = -2
1x = -2

Divide each side by '1'.
x = -2

Simplifying
x = -2