3a+9=2a-6

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Solution for 3a+9=2a-6 equation:


Simplifying
3a + 9 = 2a + -6

Reorder the terms:
9 + 3a = 2a + -6

Reorder the terms:
9 + 3a = -6 + 2a

Solving
9 + 3a = -6 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
9 + 3a + -2a = -6 + 2a + -2a

Combine like terms: 3a + -2a = 1a
9 + 1a = -6 + 2a + -2a

Combine like terms: 2a + -2a = 0
9 + 1a = -6 + 0
9 + 1a = -6

Add '-9' to each side of the equation.
9 + -9 + 1a = -6 + -9

Combine like terms: 9 + -9 = 0
0 + 1a = -6 + -9
1a = -6 + -9

Combine like terms: -6 + -9 = -15
1a = -15

Divide each side by '1'.
a = -15

Simplifying
a = -15

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