5a-43=8a+14

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Solution for 5a-43=8a+14 equation: 


Simplifying
5a + -43 = 8a + 14

Reorder the terms:
-43 + 5a = 8a + 14

Reorder the terms:
-43 + 5a = 14 + 8a

Solving
-43 + 5a = 14 + 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.
-43 + 5a + -8a = 14 + 8a + -8a

Combine like terms: 5a + -8a = -3a
-43 + -3a = 14 + 8a + -8a

Combine like terms: 8a + -8a = 0
-43 + -3a = 14 + 0
-43 + -3a = 14

Add '43' to each side of the equation.
-43 + 43 + -3a = 14 + 43

Combine like terms: -43 + 43 = 0
0 + -3a = 14 + 43
-3a = 14 + 43

Combine like terms: 14 + 43 = 57
-3a = 57

Divide each side by '-3'.
a = -19

Simplifying
a = -19

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