3a-12+18+2=10-5a

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Solution for 3a-12+18+2=10-5a equation:


Simplifying
3a + -12 + 18 + 2 = 10 + -5a

Reorder the terms:
-12 + 18 + 2 + 3a = 10 + -5a

Combine like terms: -12 + 18 = 6
6 + 2 + 3a = 10 + -5a

Combine like terms: 6 + 2 = 8
8 + 3a = 10 + -5a

Solving
8 + 3a = 10 + -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 + 3a + 5a = 10 + -5a + 5a

Combine like terms: 3a + 5a = 8a
8 + 8a = 10 + -5a + 5a

Combine like terms: -5a + 5a = 0
8 + 8a = 10 + 0
8 + 8a = 10

Add '-8' to each side of the equation.
8 + -8 + 8a = 10 + -8

Combine like terms: 8 + -8 = 0
0 + 8a = 10 + -8
8a = 10 + -8

Combine like terms: 10 + -8 = 2
8a = 2

Divide each side by '8'.
a = 0.25

Simplifying
a = 0.25

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