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

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

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

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

Reorder the terms:
6 + 6a = 5(5 + a)
6 + 6a = (5 * 5 + a * 5)
6 + 6a = (25 + 5a)

Solving
6 + 6a = 25 + 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.
6 + 6a + -5a = 25 + 5a + -5a

Combine like terms: 6a + -5a = 1a
6 + 1a = 25 + 5a + -5a

Combine like terms: 5a + -5a = 0
6 + 1a = 25 + 0
6 + 1a = 25

Add '-6' to each side of the equation.
6 + -6 + 1a = 25 + -6

Combine like terms: 6 + -6 = 0
0 + 1a = 25 + -6
1a = 25 + -6

Combine like terms: 25 + -6 = 19
1a = 19

Divide each side by '1'.
a = 19

Simplifying
a = 19