3a-5=-a+7

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


Simplifying
3a + -5 = -1a + 7

Reorder the terms:
-5 + 3a = -1a + 7

Reorder the terms:
-5 + 3a = 7 + -1a

Solving
-5 + 3a = 7 + -1a

Solving for variable 'a'.

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

Add 'a' to each side of the equation.
-5 + 3a + a = 7 + -1a + a

Combine like terms: 3a + a = 4a
-5 + 4a = 7 + -1a + a

Combine like terms: -1a + a = 0
-5 + 4a = 7 + 0
-5 + 4a = 7

Add '5' to each side of the equation.
-5 + 5 + 4a = 7 + 5

Combine like terms: -5 + 5 = 0
0 + 4a = 7 + 5
4a = 7 + 5

Combine like terms: 7 + 5 = 12
4a = 12

Divide each side by '4'.
a = 3

Simplifying
a = 3

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