3*(2a+4)-(a+9)=18

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Solution for 3*(2a+4)-(a+9)=18 equation:


Simplifying
3(2a + 4) + -1(a + 9) = 18

Reorder the terms:
3(4 + 2a) + -1(a + 9) = 18
(4 * 3 + 2a * 3) + -1(a + 9) = 18
(12 + 6a) + -1(a + 9) = 18

Reorder the terms:
12 + 6a + -1(9 + a) = 18
12 + 6a + (9 * -1 + a * -1) = 18
12 + 6a + (-9 + -1a) = 18

Reorder the terms:
12 + -9 + 6a + -1a = 18

Combine like terms: 12 + -9 = 3
3 + 6a + -1a = 18

Combine like terms: 6a + -1a = 5a
3 + 5a = 18

Solving
3 + 5a = 18

Solving for variable 'a'.

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

Add '-3' to each side of the equation.
3 + -3 + 5a = 18 + -3

Combine like terms: 3 + -3 = 0
0 + 5a = 18 + -3
5a = 18 + -3

Combine like terms: 18 + -3 = 15
5a = 15

Divide each side by '5'.
a = 3

Simplifying
a = 3

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