6(a-6)=3(6-a)

Solution for 6(a-6)=3(6-a) equation:

Simplifying
6(a + -6) = 3(6 + -1a)

Reorder the terms:
6(-6 + a) = 3(6 + -1a)
(-6 * 6 + a * 6) = 3(6 + -1a)
(-36 + 6a) = 3(6 + -1a)
-36 + 6a = (6 * 3 + -1a * 3)
-36 + 6a = (18 + -3a)

Solving
-36 + 6a = 18 + -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.
-36 + 6a + 3a = 18 + -3a + 3a

Combine like terms: 6a + 3a = 9a
-36 + 9a = 18 + -3a + 3a

Combine like terms: -3a + 3a = 0
-36 + 9a = 18 + 0
-36 + 9a = 18

Add '36' to each side of the equation.
-36 + 36 + 9a = 18 + 36

Combine like terms: -36 + 36 = 0
0 + 9a = 18 + 36
9a = 18 + 36

Combine like terms: 18 + 36 = 54
9a = 54

Divide each side by '9'.
a = 6

Simplifying
a = 6