6a-13=8a+5

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Solution for 6a-13=8a+5 equation:


Simplifying
6a + -13 = 8a + 5

Reorder the terms:
-13 + 6a = 8a + 5

Reorder the terms:
-13 + 6a = 5 + 8a

Solving
-13 + 6a = 5 + 8a

Solving for variable 'a'.

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

Add '-8a' to each side of the equation.
-13 + 6a + -8a = 5 + 8a + -8a

Combine like terms: 6a + -8a = -2a
-13 + -2a = 5 + 8a + -8a

Combine like terms: 8a + -8a = 0
-13 + -2a = 5 + 0
-13 + -2a = 5

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

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

Combine like terms: 5 + 13 = 18
-2a = 18

Divide each side by '-2'.
a = -9

Simplifying
a = -9

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