3a+9=5a-5

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


Simplifying
3a + 9 = 5a + -5

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

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

Solving
9 + 3a = -5 + 5a

Solving for variable 'a'.

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

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

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

Combine like terms: 5a + -5a = 0
9 + -2a = -5 + 0
9 + -2a = -5

Add '-9' to each side of the equation.
9 + -9 + -2a = -5 + -9

Combine like terms: 9 + -9 = 0
0 + -2a = -5 + -9
-2a = -5 + -9

Combine like terms: -5 + -9 = -14
-2a = -14

Divide each side by '-2'.
a = 7

Simplifying
a = 7

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