5a-9=-3a+7

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Solution for 5a-9=-3a+7 equation:


Simplifying
5a + -9 = -3a + 7

Reorder the terms:
-9 + 5a = -3a + 7

Reorder the terms:
-9 + 5a = 7 + -3a

Solving
-9 + 5a = 7 + -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.
-9 + 5a + 3a = 7 + -3a + 3a

Combine like terms: 5a + 3a = 8a
-9 + 8a = 7 + -3a + 3a

Combine like terms: -3a + 3a = 0
-9 + 8a = 7 + 0
-9 + 8a = 7

Add '9' to each side of the equation.
-9 + 9 + 8a = 7 + 9

Combine like terms: -9 + 9 = 0
0 + 8a = 7 + 9
8a = 7 + 9

Combine like terms: 7 + 9 = 16
8a = 16

Divide each side by '8'.
a = 2

Simplifying
a = 2

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