3-4a=5(3-a)

Solution for 3-4a=5(3-a) equation:

Simplifying
3 + -4a = 5(3 + -1a)
3 + -4a = (3 * 5 + -1a * 5)
3 + -4a = (15 + -5a)

Solving
3 + -4a = 15 + -5a

Solving for variable 'a'.

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

Add '5a' to each side of the equation.
3 + -4a + 5a = 15 + -5a + 5a

Combine like terms: -4a + 5a = 1a
3 + 1a = 15 + -5a + 5a

Combine like terms: -5a + 5a = 0
3 + 1a = 15 + 0
3 + 1a = 15

Add '-3' to each side of the equation.
3 + -3 + 1a = 15 + -3

Combine like terms: 3 + -3 = 0
0 + 1a = 15 + -3
1a = 15 + -3

Combine like terms: 15 + -3 = 12
1a = 12

Divide each side by '1'.
a = 12

Simplifying
a = 12