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

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

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

Reorder the terms:
4(-3 + a) = 2(3 + -1a)
(-3 * 4 + a * 4) = 2(3 + -1a)
(-12 + 4a) = 2(3 + -1a)
-12 + 4a = (3 * 2 + -1a * 2)
-12 + 4a = (6 + -2a)

Solving
-12 + 4a = 6 + -2a

Solving for variable 'a'.

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

Add '2a' to each side of the equation.
-12 + 4a + 2a = 6 + -2a + 2a

Combine like terms: 4a + 2a = 6a
-12 + 6a = 6 + -2a + 2a

Combine like terms: -2a + 2a = 0
-12 + 6a = 6 + 0
-12 + 6a = 6

Add '12' to each side of the equation.
-12 + 12 + 6a = 6 + 12

Combine like terms: -12 + 12 = 0
0 + 6a = 6 + 12
6a = 6 + 12

Combine like terms: 6 + 12 = 18
6a = 18

Divide each side by '6'.
a = 3

Simplifying
a = 3