2a+6=9a-15

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Solution for 2a+6=9a-15 equation:


Simplifying
2a + 6 = 9a + -15

Reorder the terms:
6 + 2a = 9a + -15

Reorder the terms:
6 + 2a = -15 + 9a

Solving
6 + 2a = -15 + 9a

Solving for variable 'a'.

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

Add '-9a' to each side of the equation.
6 + 2a + -9a = -15 + 9a + -9a

Combine like terms: 2a + -9a = -7a
6 + -7a = -15 + 9a + -9a

Combine like terms: 9a + -9a = 0
6 + -7a = -15 + 0
6 + -7a = -15

Add '-6' to each side of the equation.
6 + -6 + -7a = -15 + -6

Combine like terms: 6 + -6 = 0
0 + -7a = -15 + -6
-7a = -15 + -6

Combine like terms: -15 + -6 = -21
-7a = -21

Divide each side by '-7'.
a = 3

Simplifying
a = 3

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