2(x+3)-(x+1)=7

Solution for 2(x+3)-(x+1)=7 equation:

Simplifying
2(x + 3) + -1(x + 1) = 7

Reorder the terms:
2(3 + x) + -1(x + 1) = 7
(3 * 2 + x * 2) + -1(x + 1) = 7
(6 + 2x) + -1(x + 1) = 7

Reorder the terms:
6 + 2x + -1(1 + x) = 7
6 + 2x + (1 * -1 + x * -1) = 7
6 + 2x + (-1 + -1x) = 7

Reorder the terms:
6 + -1 + 2x + -1x = 7

Combine like terms: 6 + -1 = 5
5 + 2x + -1x = 7

Combine like terms: 2x + -1x = 1x
5 + 1x = 7

Solving
5 + 1x = 7

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 1x = 7 + -5

Combine like terms: 5 + -5 = 0
0 + 1x = 7 + -5
1x = 7 + -5

Combine like terms: 7 + -5 = 2
1x = 2

Divide each side by '1'.
x = 2

Simplifying
x = 2