3a-7=5a+9

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


Simplifying
3a + -7 = 5a + 9

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

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

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

Combine like terms: 3a + -5a = -2a
-7 + -2a = 9 + 5a + -5a

Combine like terms: 5a + -5a = 0
-7 + -2a = 9 + 0
-7 + -2a = 9

Add '7' to each side of the equation.
-7 + 7 + -2a = 9 + 7

Combine like terms: -7 + 7 = 0
0 + -2a = 9 + 7
-2a = 9 + 7

Combine like terms: 9 + 7 = 16
-2a = 16

Divide each side by '-2'.
a = -8

Simplifying
a = -8

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