2(a+1)-(a-2)=0

Solution for 2(a+1)-(a-2)=0 equation:

Simplifying
2(a + 1) + -1(a + -2) = 0

Reorder the terms:
2(1 + a) + -1(a + -2) = 0
(1 * 2 + a * 2) + -1(a + -2) = 0
(2 + 2a) + -1(a + -2) = 0

Reorder the terms:
2 + 2a + -1(-2 + a) = 0
2 + 2a + (-2 * -1 + a * -1) = 0
2 + 2a + (2 + -1a) = 0

Reorder the terms:
2 + 2 + 2a + -1a = 0

Combine like terms: 2 + 2 = 4
4 + 2a + -1a = 0

Combine like terms: 2a + -1a = 1a
4 + 1a = 0

Solving
4 + 1a = 0

Solving for variable 'a'.

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

Add '-4' to each side of the equation.
4 + -4 + 1a = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 1a = 0 + -4
1a = 0 + -4

Combine like terms: 0 + -4 = -4
1a = -4

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

Simplifying
a = -4