2(x+3)=4+x+6

Solution for 2(x+3)=4+x+6 equation:

Simplifying
2(x + 3) = 4 + x + 6

Reorder the terms:
2(3 + x) = 4 + x + 6
(3 * 2 + x * 2) = 4 + x + 6
(6 + 2x) = 4 + x + 6

Reorder the terms:
6 + 2x = 4 + 6 + x

Combine like terms: 4 + 6 = 10
6 + 2x = 10 + x

Solving
6 + 2x = 10 + 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 = 10 + x + -1x

Combine like terms: 2x + -1x = 1x
6 + 1x = 10 + x + -1x

Combine like terms: x + -1x = 0
6 + 1x = 10 + 0
6 + 1x = 10

Add '-6' to each side of the equation.
6 + -6 + 1x = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = 10 + -6
1x = 10 + -6

Combine like terms: 10 + -6 = 4
1x = 4

Divide each side by '1'.
x = 4

Simplifying
x = 4