(3a+6)-(4a-12)=a-18

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Solution for (3a+6)-(4a-12)=a-18 equation:


Simplifying
(3a + 6) + -1(4a + -12) = a + -18

Reorder the terms:
(6 + 3a) + -1(4a + -12) = a + -18

Remove parenthesis around (6 + 3a)
6 + 3a + -1(4a + -12) = a + -18

Reorder the terms:
6 + 3a + -1(-12 + 4a) = a + -18
6 + 3a + (-12 * -1 + 4a * -1) = a + -18
6 + 3a + (12 + -4a) = a + -18

Reorder the terms:
6 + 12 + 3a + -4a = a + -18

Combine like terms: 6 + 12 = 18
18 + 3a + -4a = a + -18

Combine like terms: 3a + -4a = -1a
18 + -1a = a + -18

Reorder the terms:
18 + -1a = -18 + a

Solving
18 + -1a = -18 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
18 + -1a + -1a = -18 + a + -1a

Combine like terms: -1a + -1a = -2a
18 + -2a = -18 + a + -1a

Combine like terms: a + -1a = 0
18 + -2a = -18 + 0
18 + -2a = -18

Add '-18' to each side of the equation.
18 + -18 + -2a = -18 + -18

Combine like terms: 18 + -18 = 0
0 + -2a = -18 + -18
-2a = -18 + -18

Combine like terms: -18 + -18 = -36
-2a = -36

Divide each side by '-2'.
a = 18

Simplifying
a = 18

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