(5a+6)=(6a-2)

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Solution for (5a+6)=(6a-2) equation:


Simplifying
(5a + 6) = (6a + -2)

Reorder the terms:
(6 + 5a) = (6a + -2)

Remove parenthesis around (6 + 5a)
6 + 5a = (6a + -2)

Reorder the terms:
6 + 5a = (-2 + 6a)

Remove parenthesis around (-2 + 6a)
6 + 5a = -2 + 6a

Solving
6 + 5a = -2 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
6 + 5a + -6a = -2 + 6a + -6a

Combine like terms: 5a + -6a = -1a
6 + -1a = -2 + 6a + -6a

Combine like terms: 6a + -6a = 0
6 + -1a = -2 + 0
6 + -1a = -2

Add '-6' to each side of the equation.
6 + -6 + -1a = -2 + -6

Combine like terms: 6 + -6 = 0
0 + -1a = -2 + -6
-1a = -2 + -6

Combine like terms: -2 + -6 = -8
-1a = -8

Divide each side by '-1'.
a = 8

Simplifying
a = 8

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