6a-5=3a+9

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Solution for 6a-5=3a+9 equation:


Simplifying
6a + -5 = 3a + 9

Reorder the terms:
-5 + 6a = 3a + 9

Reorder the terms:
-5 + 6a = 9 + 3a

Solving
-5 + 6a = 9 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
-5 + 6a + -3a = 9 + 3a + -3a

Combine like terms: 6a + -3a = 3a
-5 + 3a = 9 + 3a + -3a

Combine like terms: 3a + -3a = 0
-5 + 3a = 9 + 0
-5 + 3a = 9

Add '5' to each side of the equation.
-5 + 5 + 3a = 9 + 5

Combine like terms: -5 + 5 = 0
0 + 3a = 9 + 5
3a = 9 + 5

Combine like terms: 9 + 5 = 14
3a = 14

Divide each side by '3'.
a = 4.666666667

Simplifying
a = 4.666666667

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