2a+8=6a-12

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Solution for 2a+8=6a-12 equation:


Simplifying
2a + 8 = 6a + -12

Reorder the terms:
8 + 2a = 6a + -12

Reorder the terms:
8 + 2a = -12 + 6a

Solving
8 + 2a = -12 + 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.
8 + 2a + -6a = -12 + 6a + -6a

Combine like terms: 2a + -6a = -4a
8 + -4a = -12 + 6a + -6a

Combine like terms: 6a + -6a = 0
8 + -4a = -12 + 0
8 + -4a = -12

Add '-8' to each side of the equation.
8 + -8 + -4a = -12 + -8

Combine like terms: 8 + -8 = 0
0 + -4a = -12 + -8
-4a = -12 + -8

Combine like terms: -12 + -8 = -20
-4a = -20

Divide each side by '-4'.
a = 5

Simplifying
a = 5

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