2(2a+3)-27=15

Solution for 2(2a+3)-27=15 equation:

Simplifying
2(2a + 3) + -27 = 15

Reorder the terms:
2(3 + 2a) + -27 = 15
(3 * 2 + 2a * 2) + -27 = 15
(6 + 4a) + -27 = 15

Reorder the terms:
6 + -27 + 4a = 15

Combine like terms: 6 + -27 = -21
-21 + 4a = 15

Solving
-21 + 4a = 15

Solving for variable 'a'.

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

Add '21' to each side of the equation.
-21 + 21 + 4a = 15 + 21

Combine like terms: -21 + 21 = 0
0 + 4a = 15 + 21
4a = 15 + 21

Combine like terms: 15 + 21 = 36
4a = 36

Divide each side by '4'.
a = 9

Simplifying
a = 9