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

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

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

Reorder the terms:
5(-3 + 2a) = 3(3a + 2)
(-3 * 5 + 2a * 5) = 3(3a + 2)
(-15 + 10a) = 3(3a + 2)

Reorder the terms:
-15 + 10a = 3(2 + 3a)
-15 + 10a = (2 * 3 + 3a * 3)
-15 + 10a = (6 + 9a)

Solving
-15 + 10a = 6 + 9a

Solving for variable 'a'.

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

Add '-9a' to each side of the equation.
-15 + 10a + -9a = 6 + 9a + -9a

Combine like terms: 10a + -9a = 1a
-15 + 1a = 6 + 9a + -9a

Combine like terms: 9a + -9a = 0
-15 + 1a = 6 + 0
-15 + 1a = 6

Add '15' to each side of the equation.
-15 + 15 + 1a = 6 + 15

Combine like terms: -15 + 15 = 0
0 + 1a = 6 + 15
1a = 6 + 15

Combine like terms: 6 + 15 = 21
1a = 21

Divide each side by '1'.
a = 21

Simplifying
a = 21