(6a+11)=(2a+83)

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Solution for (6a+11)=(2a+83) equation:


Simplifying
(6a + 11) = (2a + 83)

Reorder the terms:
(11 + 6a) = (2a + 83)

Remove parenthesis around (11 + 6a)
11 + 6a = (2a + 83)

Reorder the terms:
11 + 6a = (83 + 2a)

Remove parenthesis around (83 + 2a)
11 + 6a = 83 + 2a

Solving
11 + 6a = 83 + 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.
11 + 6a + -2a = 83 + 2a + -2a

Combine like terms: 6a + -2a = 4a
11 + 4a = 83 + 2a + -2a

Combine like terms: 2a + -2a = 0
11 + 4a = 83 + 0
11 + 4a = 83

Add '-11' to each side of the equation.
11 + -11 + 4a = 83 + -11

Combine like terms: 11 + -11 = 0
0 + 4a = 83 + -11
4a = 83 + -11

Combine like terms: 83 + -11 = 72
4a = 72

Divide each side by '4'.
a = 18

Simplifying
a = 18

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