6a-2=a+13

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Solution for 6a-2=a+13 equation:


Simplifying
6a + -2 = a + 13

Reorder the terms:
-2 + 6a = a + 13

Reorder the terms:
-2 + 6a = 13 + a

Solving
-2 + 6a = 13 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
-2 + 6a + -1a = 13 + a + -1a

Combine like terms: 6a + -1a = 5a
-2 + 5a = 13 + a + -1a

Combine like terms: a + -1a = 0
-2 + 5a = 13 + 0
-2 + 5a = 13

Add '2' to each side of the equation.
-2 + 2 + 5a = 13 + 2

Combine like terms: -2 + 2 = 0
0 + 5a = 13 + 2
5a = 13 + 2

Combine like terms: 13 + 2 = 15
5a = 15

Divide each side by '5'.
a = 3

Simplifying
a = 3

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