(6a-12)-(2a+6)=8

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


Simplifying
(6a + -12) + -1(2a + 6) = 8

Reorder the terms:
(-12 + 6a) + -1(2a + 6) = 8

Remove parenthesis around (-12 + 6a)
-12 + 6a + -1(2a + 6) = 8

Reorder the terms:
-12 + 6a + -1(6 + 2a) = 8
-12 + 6a + (6 * -1 + 2a * -1) = 8
-12 + 6a + (-6 + -2a) = 8

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

Combine like terms: -12 + -6 = -18
-18 + 6a + -2a = 8

Combine like terms: 6a + -2a = 4a
-18 + 4a = 8

Solving
-18 + 4a = 8

Solving for variable 'a'.

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

Add '18' to each side of the equation.
-18 + 18 + 4a = 8 + 18

Combine like terms: -18 + 18 = 0
0 + 4a = 8 + 18
4a = 8 + 18

Combine like terms: 8 + 18 = 26
4a = 26

Divide each side by '4'.
a = 6.5

Simplifying
a = 6.5

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