7a-8=5a+12

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Solution for 7a-8=5a+12 equation:


Simplifying
7a + -8 = 5a + 12

Reorder the terms:
-8 + 7a = 5a + 12

Reorder the terms:
-8 + 7a = 12 + 5a

Solving
-8 + 7a = 12 + 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.
-8 + 7a + -5a = 12 + 5a + -5a

Combine like terms: 7a + -5a = 2a
-8 + 2a = 12 + 5a + -5a

Combine like terms: 5a + -5a = 0
-8 + 2a = 12 + 0
-8 + 2a = 12

Add '8' to each side of the equation.
-8 + 8 + 2a = 12 + 8

Combine like terms: -8 + 8 = 0
0 + 2a = 12 + 8
2a = 12 + 8

Combine like terms: 12 + 8 = 20
2a = 20

Divide each side by '2'.
a = 10

Simplifying
a = 10

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