3a+5=13-a

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Solution for 3a+5=13-a equation:


Simplifying
3a + 5 = 13 + -1a

Reorder the terms:
5 + 3a = 13 + -1a

Solving
5 + 3a = 13 + -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 = 13 + -1a + a

Combine like terms: 3a + a = 4a
5 + 4a = 13 + -1a + a

Combine like terms: -1a + a = 0
5 + 4a = 13 + 0
5 + 4a = 13

Add '-5' to each side of the equation.
5 + -5 + 4a = 13 + -5

Combine like terms: 5 + -5 = 0
0 + 4a = 13 + -5
4a = 13 + -5

Combine like terms: 13 + -5 = 8
4a = 8

Divide each side by '4'.
a = 2

Simplifying
a = 2

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