2(3a-3)=5(a-1)

Solution for 2(3a-3)=5(a-1) equation:

Simplifying
2(3a + -3) = 5(a + -1)

Reorder the terms:
2(-3 + 3a) = 5(a + -1)
(-3 * 2 + 3a * 2) = 5(a + -1)
(-6 + 6a) = 5(a + -1)

Reorder the terms:
-6 + 6a = 5(-1 + a)
-6 + 6a = (-1 * 5 + a * 5)
-6 + 6a = (-5 + 5a)

Solving
-6 + 6a = -5 + 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.
-6 + 6a + -5a = -5 + 5a + -5a

Combine like terms: 6a + -5a = 1a
-6 + 1a = -5 + 5a + -5a

Combine like terms: 5a + -5a = 0
-6 + 1a = -5 + 0
-6 + 1a = -5

Add '6' to each side of the equation.
-6 + 6 + 1a = -5 + 6

Combine like terms: -6 + 6 = 0
0 + 1a = -5 + 6
1a = -5 + 6

Combine like terms: -5 + 6 = 1
1a = 1

Divide each side by '1'.
a = 1

Simplifying
a = 1