3(a+1)=5(a-1)

Solution for 3(a+1)=5(a-1) equation:

Simplifying
3(a + 1) = 5(a + -1)

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

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

Solving
3 + 3a = -5 + 5a

Solving for variable 'a'.

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

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

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

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

Add '-3' to each side of the equation.
3 + -3 + -2a = -5 + -3

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

Combine like terms: -5 + -3 = -8
-2a = -8

Divide each side by '-2'.
a = 4

Simplifying
a = 4