3(5a+2)=2(3a-6)

Solution for 3(5a+2)=2(3a-6) equation:

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

Reorder the terms:
3(2 + 5a) = 2(3a + -6)
(2 * 3 + 5a * 3) = 2(3a + -6)
(6 + 15a) = 2(3a + -6)

Reorder the terms:
6 + 15a = 2(-6 + 3a)
6 + 15a = (-6 * 2 + 3a * 2)
6 + 15a = (-12 + 6a)

Solving
6 + 15a = -12 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
6 + 15a + -6a = -12 + 6a + -6a

Combine like terms: 15a + -6a = 9a
6 + 9a = -12 + 6a + -6a

Combine like terms: 6a + -6a = 0
6 + 9a = -12 + 0
6 + 9a = -12

Add '-6' to each side of the equation.
6 + -6 + 9a = -12 + -6

Combine like terms: 6 + -6 = 0
0 + 9a = -12 + -6
9a = -12 + -6

Combine like terms: -12 + -6 = -18
9a = -18

Divide each side by '9'.
a = -2

Simplifying
a = -2