3(a+2)=14-2(3-2a)

Solution for 3(a+2)=14-2(3-2a) equation:

Simplifying
3(a + 2) = 14 + -2(3 + -2a)

Reorder the terms:
3(2 + a) = 14 + -2(3 + -2a)
(2 * 3 + a * 3) = 14 + -2(3 + -2a)
(6 + 3a) = 14 + -2(3 + -2a)
6 + 3a = 14 + (3 * -2 + -2a * -2)
6 + 3a = 14 + (-6 + 4a)

Combine like terms: 14 + -6 = 8
6 + 3a = 8 + 4a

Solving
6 + 3a = 8 + 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 + 3a + -4a = 8 + 4a + -4a

Combine like terms: 3a + -4a = -1a
6 + -1a = 8 + 4a + -4a

Combine like terms: 4a + -4a = 0
6 + -1a = 8 + 0
6 + -1a = 8

Add '-6' to each side of the equation.
6 + -6 + -1a = 8 + -6

Combine like terms: 6 + -6 = 0
0 + -1a = 8 + -6
-1a = 8 + -6

Combine like terms: 8 + -6 = 2
-1a = 2

Divide each side by '-1'.
a = -2

Simplifying
a = -2