3(2a+3)-4(3a+6)=15

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Solution for 3(2a+3)-4(3a+6)=15 equation: 


Simplifying
3(2a + 3) + -4(3a + 6) = 15

Reorder the terms:
3(3 + 2a) + -4(3a + 6) = 15
(3 * 3 + 2a * 3) + -4(3a + 6) = 15
(9 + 6a) + -4(3a + 6) = 15

Reorder the terms:
9 + 6a + -4(6 + 3a) = 15
9 + 6a + (6 * -4 + 3a * -4) = 15
9 + 6a + (-24 + -12a) = 15

Reorder the terms:
9 + -24 + 6a + -12a = 15

Combine like terms: 9 + -24 = -15
-15 + 6a + -12a = 15

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

Solving
-15 + -6a = 15

Solving for variable 'a'.

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

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

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

Combine like terms: 15 + 15 = 30
-6a = 30

Divide each side by '-6'.
a = -5

Simplifying
a = -5

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