5a-8=3a+84

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Solution for 5a-8=3a+84 equation:


Simplifying
5a + -8 = 3a + 84

Reorder the terms:
-8 + 5a = 3a + 84

Reorder the terms:
-8 + 5a = 84 + 3a

Solving
-8 + 5a = 84 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
-8 + 5a + -3a = 84 + 3a + -3a

Combine like terms: 5a + -3a = 2a
-8 + 2a = 84 + 3a + -3a

Combine like terms: 3a + -3a = 0
-8 + 2a = 84 + 0
-8 + 2a = 84

Add '8' to each side of the equation.
-8 + 8 + 2a = 84 + 8

Combine like terms: -8 + 8 = 0
0 + 2a = 84 + 8
2a = 84 + 8

Combine like terms: 84 + 8 = 92
2a = 92

Divide each side by '2'.
a = 46

Simplifying
a = 46

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