2(3+x)=x+2

Solution for 2(3+x)=x+2 equation:

Simplifying
2(3 + x) = x + 2
(3 * 2 + x * 2) = x + 2
(6 + 2x) = x + 2

Reorder the terms:
6 + 2x = 2 + x

Solving
6 + 2x = 2 + 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.
6 + 2x + -1x = 2 + x + -1x

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

Combine like terms: x + -1x = 0
6 + 1x = 2 + 0
6 + 1x = 2

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

Combine like terms: 6 + -6 = 0
0 + 1x = 2 + -6
1x = 2 + -6

Combine like terms: 2 + -6 = -4
1x = -4

Divide each side by '1'.
x = -4

Simplifying
x = -4