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

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

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

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

Combine like terms: 6a + -6a = 0
15 + 0 = 2(3 + -3a)
15 = 2(3 + -3a)
15 = (3 * 2 + -3a * 2)
15 = (6 + -6a)

Solving
15 = 6 + -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.
15 + 6a = 6 + -6a + 6a

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

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

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

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

Divide each side by '6'.
a = -1.5

Simplifying
a = -1.5