2a+5=9a-16

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Solution for 2a+5=9a-16 equation:


Simplifying
2a + 5 = 9a + -16

Reorder the terms:
5 + 2a = 9a + -16

Reorder the terms:
5 + 2a = -16 + 9a

Solving
5 + 2a = -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.
5 + 2a + -9a = -16 + 9a + -9a

Combine like terms: 2a + -9a = -7a
5 + -7a = -16 + 9a + -9a

Combine like terms: 9a + -9a = 0
5 + -7a = -16 + 0
5 + -7a = -16

Add '-5' to each side of the equation.
5 + -5 + -7a = -16 + -5

Combine like terms: 5 + -5 = 0
0 + -7a = -16 + -5
-7a = -16 + -5

Combine like terms: -16 + -5 = -21
-7a = -21

Divide each side by '-7'.
a = 3

Simplifying
a = 3

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