5a-9=2a+9

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Solution for 5a-9=2a+9 equation:


Simplifying
5a + -9 = 2a + 9

Reorder the terms:
-9 + 5a = 2a + 9

Reorder the terms:
-9 + 5a = 9 + 2a

Solving
-9 + 5a = 9 + 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 + 5a + -2a = 9 + 2a + -2a

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

Combine like terms: 2a + -2a = 0
-9 + 3a = 9 + 0
-9 + 3a = 9

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

Combine like terms: -9 + 9 = 0
0 + 3a = 9 + 9
3a = 9 + 9

Combine like terms: 9 + 9 = 18
3a = 18

Divide each side by '3'.
a = 6

Simplifying
a = 6

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