2a-5=5a-14

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


Simplifying
2a + -5 = 5a + -14

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

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

Solving
-5 + 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.
-5 + 2a + -5a = -14 + 5a + -5a

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

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

Add '5' to each side of the equation.
-5 + 5 + -3a = -14 + 5

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

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

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

Simplifying
a = 3

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