2(3+x)-(x-4)=13

Solution for 2(3+x)-(x-4)=13 equation:

Simplifying
2(3 + x) + -1(x + -4) = 13
(3 * 2 + x * 2) + -1(x + -4) = 13
(6 + 2x) + -1(x + -4) = 13

Reorder the terms:
6 + 2x + -1(-4 + x) = 13
6 + 2x + (-4 * -1 + x * -1) = 13
6 + 2x + (4 + -1x) = 13

Reorder the terms:
6 + 4 + 2x + -1x = 13

Combine like terms: 6 + 4 = 10
10 + 2x + -1x = 13

Combine like terms: 2x + -1x = 1x
10 + 1x = 13

Solving
10 + 1x = 13

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 1x = 13 + -10

Combine like terms: 10 + -10 = 0
0 + 1x = 13 + -10
1x = 13 + -10

Combine like terms: 13 + -10 = 3
1x = 3

Divide each side by '1'.
x = 3

Simplifying
x = 3