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 = -11
-7a = -11

Divide each side by '-7'.
a = 1.571428571

Simplifying
a = 1.571428571

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