3(2a-1)=5(a+1)

Solution for 3(2a-1)=5(a+1) equation:

Simplifying
3(2a + -1) = 5(a + 1)

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

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

Solving
-3 + 6a = 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 + 6a + -5a = 5 + 5a + -5a

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

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

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

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

Combine like terms: 5 + 3 = 8
1a = 8

Divide each side by '1'.
a = 8

Simplifying
a = 8