3a+14=5a-4

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Solution for 3a+14=5a-4 equation:


Simplifying
3a + 14 = 5a + -4

Reorder the terms:
14 + 3a = 5a + -4

Reorder the terms:
14 + 3a = -4 + 5a

Solving
14 + 3a = -4 + 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.
14 + 3a + -5a = -4 + 5a + -5a

Combine like terms: 3a + -5a = -2a
14 + -2a = -4 + 5a + -5a

Combine like terms: 5a + -5a = 0
14 + -2a = -4 + 0
14 + -2a = -4

Add '-14' to each side of the equation.
14 + -14 + -2a = -4 + -14

Combine like terms: 14 + -14 = 0
0 + -2a = -4 + -14
-2a = -4 + -14

Combine like terms: -4 + -14 = -18
-2a = -18

Divide each side by '-2'.
a = 9

Simplifying
a = 9

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