6a-5=3a+13

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Solution for 6a-5=3a+13 equation:


Simplifying
6a + -5 = 3a + 13

Reorder the terms:
-5 + 6a = 3a + 13

Reorder the terms:
-5 + 6a = 13 + 3a

Solving
-5 + 6a = 13 + 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.
-5 + 6a + -3a = 13 + 3a + -3a

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

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

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

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

Combine like terms: 13 + 5 = 18
3a = 18

Divide each side by '3'.
a = 6

Simplifying
a = 6

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