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

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

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

Reorder the terms:
3(1 + a) + -1(a + -2) = 0
(1 * 3 + a * 3) + -1(a + -2) = 0
(3 + 3a) + -1(a + -2) = 0

Reorder the terms:
3 + 3a + -1(-2 + a) = 0
3 + 3a + (-2 * -1 + a * -1) = 0
3 + 3a + (2 + -1a) = 0

Reorder the terms:
3 + 2 + 3a + -1a = 0

Combine like terms: 3 + 2 = 5
5 + 3a + -1a = 0

Combine like terms: 3a + -1a = 2a
5 + 2a = 0

Solving
5 + 2a = 0

Solving for variable 'a'.

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

Add '-5' to each side of the equation.
5 + -5 + 2a = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2a = 0 + -5
2a = 0 + -5

Combine like terms: 0 + -5 = -5
2a = -5

Divide each side by '2'.
a = -2.5

Simplifying
a = -2.5