2(3A-3)=3(A+5)

Solution for 2(3A-3)=3(A+5) equation:

Simplifying
2(3A + -3) = 3(A + 5)

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

Reorder the terms:
-6 + 6A = 3(5 + A)
-6 + 6A = (5 * 3 + A * 3)
-6 + 6A = (15 + 3A)

Solving
-6 + 6A = 15 + 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.
-6 + 6A + -3A = 15 + 3A + -3A

Combine like terms: 6A + -3A = 3A
-6 + 3A = 15 + 3A + -3A

Combine like terms: 3A + -3A = 0
-6 + 3A = 15 + 0
-6 + 3A = 15

Add '6' to each side of the equation.
-6 + 6 + 3A = 15 + 6

Combine like terms: -6 + 6 = 0
0 + 3A = 15 + 6
3A = 15 + 6

Combine like terms: 15 + 6 = 21
3A = 21

Divide each side by '3'.
A = 7

Simplifying
A = 7