3a+15=5a-9

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Solution for 3a+15=5a-9 equation:


Simplifying
3a + 15 = 5a + -9

Reorder the terms:
15 + 3a = 5a + -9

Reorder the terms:
15 + 3a = -9 + 5a

Solving
15 + 3a = -9 + 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.
15 + 3a + -5a = -9 + 5a + -5a

Combine like terms: 3a + -5a = -2a
15 + -2a = -9 + 5a + -5a

Combine like terms: 5a + -5a = 0
15 + -2a = -9 + 0
15 + -2a = -9

Add '-15' to each side of the equation.
15 + -15 + -2a = -9 + -15

Combine like terms: 15 + -15 = 0
0 + -2a = -9 + -15
-2a = -9 + -15

Combine like terms: -9 + -15 = -24
-2a = -24

Divide each side by '-2'.
a = 12

Simplifying
a = 12

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