5a-15=2a+9

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Solution for 5a-15=2a+9 equation:


Simplifying
5a + -15 = 2a + 9

Reorder the terms:
-15 + 5a = 2a + 9

Reorder the terms:
-15 + 5a = 9 + 2a

Solving
-15 + 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.
-15 + 5a + -2a = 9 + 2a + -2a

Combine like terms: 5a + -2a = 3a
-15 + 3a = 9 + 2a + -2a

Combine like terms: 2a + -2a = 0
-15 + 3a = 9 + 0
-15 + 3a = 9

Add '15' to each side of the equation.
-15 + 15 + 3a = 9 + 15

Combine like terms: -15 + 15 = 0
0 + 3a = 9 + 15
3a = 9 + 15

Combine like terms: 9 + 15 = 24
3a = 24

Divide each side by '3'.
a = 8

Simplifying
a = 8

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