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

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

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

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

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

Solving
-2 + 2a = 3 + 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.
-2 + 2a + -3a = 3 + 3a + -3a

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

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

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

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

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

Divide each side by '-1'.
a = -5

Simplifying
a = -5