6a+12=2a-6

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


Simplifying
6a + 12 = 2a + -6

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

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

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

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

Combine like terms: 2a + -2a = 0
12 + 4a = -6 + 0
12 + 4a = -6

Add '-12' to each side of the equation.
12 + -12 + 4a = -6 + -12

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

Combine like terms: -6 + -12 = -18
4a = -18

Divide each side by '4'.
a = -4.5

Simplifying
a = -4.5

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