5a-14=2a+7

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Solution for 5a-14=2a+7 equation:


Simplifying
5a + -14 = 2a + 7

Reorder the terms:
-14 + 5a = 2a + 7

Reorder the terms:
-14 + 5a = 7 + 2a

Solving
-14 + 5a = 7 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
-14 + 5a + -2a = 7 + 2a + -2a

Combine like terms: 5a + -2a = 3a
-14 + 3a = 7 + 2a + -2a

Combine like terms: 2a + -2a = 0
-14 + 3a = 7 + 0
-14 + 3a = 7

Add '14' to each side of the equation.
-14 + 14 + 3a = 7 + 14

Combine like terms: -14 + 14 = 0
0 + 3a = 7 + 14
3a = 7 + 14

Combine like terms: 7 + 14 = 21
3a = 21

Divide each side by '3'.
a = 7

Simplifying
a = 7

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