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

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

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

Reorder the terms:
4(-2 + a) = 3(a + 2)
(-2 * 4 + a * 4) = 3(a + 2)
(-8 + 4a) = 3(a + 2)

Reorder the terms:
-8 + 4a = 3(2 + a)
-8 + 4a = (2 * 3 + a * 3)
-8 + 4a = (6 + 3a)

Solving
-8 + 4a = 6 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
-8 + 4a + -3a = 6 + 3a + -3a

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

Combine like terms: 3a + -3a = 0
-8 + 1a = 6 + 0
-8 + 1a = 6

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

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

Combine like terms: 6 + 8 = 14
1a = 14

Divide each side by '1'.
a = 14

Simplifying
a = 14