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

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

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

Reorder the terms:
3(-2 + 3a) = 2(2a + 5)
(-2 * 3 + 3a * 3) = 2(2a + 5)
(-6 + 9a) = 2(2a + 5)

Reorder the terms:
-6 + 9a = 2(5 + 2a)
-6 + 9a = (5 * 2 + 2a * 2)
-6 + 9a = (10 + 4a)

Solving
-6 + 9a = 10 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
-6 + 9a + -4a = 10 + 4a + -4a

Combine like terms: 9a + -4a = 5a
-6 + 5a = 10 + 4a + -4a

Combine like terms: 4a + -4a = 0
-6 + 5a = 10 + 0
-6 + 5a = 10

Add '6' to each side of the equation.
-6 + 6 + 5a = 10 + 6

Combine like terms: -6 + 6 = 0
0 + 5a = 10 + 6
5a = 10 + 6

Combine like terms: 10 + 6 = 16
5a = 16

Divide each side by '5'.
a = 3.2

Simplifying
a = 3.2