5a-12=3a+8

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Solution for 5a-12=3a+8 equation:


Simplifying
5a + -12 = 3a + 8

Reorder the terms:
-12 + 5a = 3a + 8

Reorder the terms:
-12 + 5a = 8 + 3a

Solving
-12 + 5a = 8 + 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.
-12 + 5a + -3a = 8 + 3a + -3a

Combine like terms: 5a + -3a = 2a
-12 + 2a = 8 + 3a + -3a

Combine like terms: 3a + -3a = 0
-12 + 2a = 8 + 0
-12 + 2a = 8

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

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

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

Divide each side by '2'.
a = 10

Simplifying
a = 10

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