6a+3=a+13

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Solution for 6a+3=a+13 equation:


Simplifying
6a + 3 = a + 13

Reorder the terms:
3 + 6a = a + 13

Reorder the terms:
3 + 6a = 13 + a

Solving
3 + 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.
3 + 6a + -1a = 13 + a + -1a

Combine like terms: 6a + -1a = 5a
3 + 5a = 13 + a + -1a

Combine like terms: a + -1a = 0
3 + 5a = 13 + 0
3 + 5a = 13

Add '-3' to each side of the equation.
3 + -3 + 5a = 13 + -3

Combine like terms: 3 + -3 = 0
0 + 5a = 13 + -3
5a = 13 + -3

Combine like terms: 13 + -3 = 10
5a = 10

Divide each side by '5'.
a = 2

Simplifying
a = 2

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