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

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

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

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

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

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

Combine like terms: 2 + 3 = 5
5 + 2a + -3a = 3(a + 2)

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

Reorder the terms:
5 + -1a = 3(2 + a)
5 + -1a = (2 * 3 + a * 3)
5 + -1a = (6 + 3a)

Solving
5 + -1a = 6 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
5 + -1a + -3a = 6 + 3a + -3a

Combine like terms: -1a + -3a = -4a
5 + -4a = 6 + 3a + -3a

Combine like terms: 3a + -3a = 0
5 + -4a = 6 + 0
5 + -4a = 6

Add '-5' to each side of the equation.
5 + -5 + -4a = 6 + -5

Combine like terms: 5 + -5 = 0
0 + -4a = 6 + -5
-4a = 6 + -5

Combine like terms: 6 + -5 = 1
-4a = 1

Divide each side by '-4'.
a = -0.25

Simplifying
a = -0.25