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

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

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

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

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

Reorder the terms:
6 + 1 + 2x + -1x = 3

Combine like terms: 6 + 1 = 7
7 + 2x + -1x = 3

Combine like terms: 2x + -1x = 1x
7 + 1x = 3

Solving
7 + 1x = 3

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + 1x = 3 + -7

Combine like terms: 7 + -7 = 0
0 + 1x = 3 + -7
1x = 3 + -7

Combine like terms: 3 + -7 = -4
1x = -4

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

Simplifying
x = -4