5a+14=8a+2

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Solution for 5a+14=8a+2 equation:


Simplifying
5a + 14 = 8a + 2

Reorder the terms:
14 + 5a = 8a + 2

Reorder the terms:
14 + 5a = 2 + 8a

Solving
14 + 5a = 2 + 8a

Solving for variable 'a'.

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

Add '-8a' to each side of the equation.
14 + 5a + -8a = 2 + 8a + -8a

Combine like terms: 5a + -8a = -3a
14 + -3a = 2 + 8a + -8a

Combine like terms: 8a + -8a = 0
14 + -3a = 2 + 0
14 + -3a = 2

Add '-14' to each side of the equation.
14 + -14 + -3a = 2 + -14

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

Combine like terms: 2 + -14 = -12
-3a = -12

Divide each side by '-3'.
a = 4

Simplifying
a = 4

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