3a+13=9a-8

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Solution for 3a+13=9a-8 equation:


Simplifying
3a + 13 = 9a + -8

Reorder the terms:
13 + 3a = 9a + -8

Reorder the terms:
13 + 3a = -8 + 9a

Solving
13 + 3a = -8 + 9a

Solving for variable 'a'.

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

Add '-9a' to each side of the equation.
13 + 3a + -9a = -8 + 9a + -9a

Combine like terms: 3a + -9a = -6a
13 + -6a = -8 + 9a + -9a

Combine like terms: 9a + -9a = 0
13 + -6a = -8 + 0
13 + -6a = -8

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

Combine like terms: 13 + -13 = 0
0 + -6a = -8 + -13
-6a = -8 + -13

Combine like terms: -8 + -13 = -21
-6a = -21

Divide each side by '-6'.
a = 3.5

Simplifying
a = 3.5

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