3a+4a-9=6+a

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Solution for 3a+4a-9=6+a equation:


Simplifying
3a + 4a + -9 = 6 + a

Reorder the terms:
-9 + 3a + 4a = 6 + a

Combine like terms: 3a + 4a = 7a
-9 + 7a = 6 + a

Solving
-9 + 7a = 6 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
-9 + 7a + -1a = 6 + a + -1a

Combine like terms: 7a + -1a = 6a
-9 + 6a = 6 + a + -1a

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

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

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

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

Divide each side by '6'.
a = 2.5

Simplifying
a = 2.5

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