2a-9=5a+14

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Solution for 2a-9=5a+14 equation:


Simplifying
2a + -9 = 5a + 14

Reorder the terms:
-9 + 2a = 5a + 14

Reorder the terms:
-9 + 2a = 14 + 5a

Solving
-9 + 2a = 14 + 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
-9 + 2a + -5a = 14 + 5a + -5a

Combine like terms: 2a + -5a = -3a
-9 + -3a = 14 + 5a + -5a

Combine like terms: 5a + -5a = 0
-9 + -3a = 14 + 0
-9 + -3a = 14

Add '9' to each side of the equation.
-9 + 9 + -3a = 14 + 9

Combine like terms: -9 + 9 = 0
0 + -3a = 14 + 9
-3a = 14 + 9

Combine like terms: 14 + 9 = 23
-3a = 23

Divide each side by '-3'.
a = -7.666666667

Simplifying
a = -7.666666667

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