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

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

Simplifying
3(2 + 3a) = 5(a + -2)
(2 * 3 + 3a * 3) = 5(a + -2)
(6 + 9a) = 5(a + -2)

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

Solving
6 + 9a = -10 + 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 + 9a + -5a = -10 + 5a + -5a

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

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

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

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

Combine like terms: -10 + -6 = -16
4a = -16

Divide each side by '4'.
a = -4

Simplifying
a = -4