3a+8=9a-16

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Solution for 3a+8=9a-16 equation:


Simplifying
3a + 8 = 9a + -16

Reorder the terms:
8 + 3a = 9a + -16

Reorder the terms:
8 + 3a = -16 + 9a

Solving
8 + 3a = -16 + 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.
8 + 3a + -9a = -16 + 9a + -9a

Combine like terms: 3a + -9a = -6a
8 + -6a = -16 + 9a + -9a

Combine like terms: 9a + -9a = 0
8 + -6a = -16 + 0
8 + -6a = -16

Add '-8' to each side of the equation.
8 + -8 + -6a = -16 + -8

Combine like terms: 8 + -8 = 0
0 + -6a = -16 + -8
-6a = -16 + -8

Combine like terms: -16 + -8 = -24
-6a = -24

Divide each side by '-6'.
a = 4

Simplifying
a = 4

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