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

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

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

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

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

Solving
-3 + 3a = 2 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
-3 + 3a + -2a = 2 + 2a + -2a

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

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

Add '3' to each side of the equation.
-3 + 3 + 1a = 2 + 3

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

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

Divide each side by '1'.
a = 5

Simplifying
a = 5