3(2a+2)=2(4a+1)

Solution for 3(2a+2)=2(4a+1) equation:

Simplifying
3(2a + 2) = 2(4a + 1)

Reorder the terms:
3(2 + 2a) = 2(4a + 1)
(2 * 3 + 2a * 3) = 2(4a + 1)
(6 + 6a) = 2(4a + 1)

Reorder the terms:
6 + 6a = 2(1 + 4a)
6 + 6a = (1 * 2 + 4a * 2)
6 + 6a = (2 + 8a)

Solving
6 + 6a = 2 + 8a

Solving for variable 'a'.

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

Add '-8a' to each side of the equation.
6 + 6a + -8a = 2 + 8a + -8a

Combine like terms: 6a + -8a = -2a
6 + -2a = 2 + 8a + -8a

Combine like terms: 8a + -8a = 0
6 + -2a = 2 + 0
6 + -2a = 2

Add '-6' to each side of the equation.
6 + -6 + -2a = 2 + -6

Combine like terms: 6 + -6 = 0
0 + -2a = 2 + -6
-2a = 2 + -6

Combine like terms: 2 + -6 = -4
-2a = -4

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

Simplifying
a = 2