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

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

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

Reorder the terms:
3(2 + 2a) = 4(4 + -1a)
(2 * 3 + 2a * 3) = 4(4 + -1a)
(6 + 6a) = 4(4 + -1a)
6 + 6a = (4 * 4 + -1a * 4)
6 + 6a = (16 + -4a)

Solving
6 + 6a = 16 + -4a

Solving for variable 'a'.

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

Add '4a' to each side of the equation.
6 + 6a + 4a = 16 + -4a + 4a

Combine like terms: 6a + 4a = 10a
6 + 10a = 16 + -4a + 4a

Combine like terms: -4a + 4a = 0
6 + 10a = 16 + 0
6 + 10a = 16

Add '-6' to each side of the equation.
6 + -6 + 10a = 16 + -6

Combine like terms: 6 + -6 = 0
0 + 10a = 16 + -6
10a = 16 + -6

Combine like terms: 16 + -6 = 10
10a = 10

Divide each side by '10'.
a = 1

Simplifying
a = 1