2(a+3)-(a-1)=8

Solution for 2(a+3)-(a-1)=8 equation:

Simplifying
2(a + 3) + -1(a + -1) = 8

Reorder the terms:
2(3 + a) + -1(a + -1) = 8
(3 * 2 + a * 2) + -1(a + -1) = 8
(6 + 2a) + -1(a + -1) = 8

Reorder the terms:
6 + 2a + -1(-1 + a) = 8
6 + 2a + (-1 * -1 + a * -1) = 8
6 + 2a + (1 + -1a) = 8

Reorder the terms:
6 + 1 + 2a + -1a = 8

Combine like terms: 6 + 1 = 7
7 + 2a + -1a = 8

Combine like terms: 2a + -1a = 1a
7 + 1a = 8

Solving
7 + 1a = 8

Solving for variable 'a'.

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

Add '-7' to each side of the equation.
7 + -7 + 1a = 8 + -7

Combine like terms: 7 + -7 = 0
0 + 1a = 8 + -7
1a = 8 + -7

Combine like terms: 8 + -7 = 1
1a = 1

Divide each side by '1'.
a = 1

Simplifying
a = 1