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

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

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

Reorder the terms:
3(-2 + 3a) = 4(4 + -1a)
(-2 * 3 + 3a * 3) = 4(4 + -1a)
(-6 + 9a) = 4(4 + -1a)
-6 + 9a = (4 * 4 + -1a * 4)
-6 + 9a = (16 + -4a)

Solving
-6 + 9a = 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 + 9a + 4a = 16 + -4a + 4a

Combine like terms: 9a + 4a = 13a
-6 + 13a = 16 + -4a + 4a

Combine like terms: -4a + 4a = 0
-6 + 13a = 16 + 0
-6 + 13a = 16

Add '6' to each side of the equation.
-6 + 6 + 13a = 16 + 6

Combine like terms: -6 + 6 = 0
0 + 13a = 16 + 6
13a = 16 + 6

Combine like terms: 16 + 6 = 22
13a = 22

Divide each side by '13'.
a = 1.692307692

Simplifying
a = 1.692307692