2a+6=6a-8

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Solution for 2a+6=6a-8 equation:


Simplifying
2a + 6 = 6a + -8

Reorder the terms:
6 + 2a = 6a + -8

Reorder the terms:
6 + 2a = -8 + 6a

Solving
6 + 2a = -8 + 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 + 2a + -6a = -8 + 6a + -6a

Combine like terms: 2a + -6a = -4a
6 + -4a = -8 + 6a + -6a

Combine like terms: 6a + -6a = 0
6 + -4a = -8 + 0
6 + -4a = -8

Add '-6' to each side of the equation.
6 + -6 + -4a = -8 + -6

Combine like terms: 6 + -6 = 0
0 + -4a = -8 + -6
-4a = -8 + -6

Combine like terms: -8 + -6 = -14
-4a = -14

Divide each side by '-4'.
a = 3.5

Simplifying
a = 3.5

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