15-a=2(a+3)

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Solution for 15-a=2(a+3) equation:


Simplifying
15 + -1a = 2(a + 3)

Reorder the terms:
15 + -1a = 2(3 + a)
15 + -1a = (3 * 2 + a * 2)
15 + -1a = (6 + 2a)

Solving
15 + -1a = 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.
15 + -1a + -2a = 6 + 2a + -2a

Combine like terms: -1a + -2a = -3a
15 + -3a = 6 + 2a + -2a

Combine like terms: 2a + -2a = 0
15 + -3a = 6 + 0
15 + -3a = 6

Add '-15' to each side of the equation.
15 + -15 + -3a = 6 + -15

Combine like terms: 15 + -15 = 0
0 + -3a = 6 + -15
-3a = 6 + -15

Combine like terms: 6 + -15 = -9
-3a = -9

Divide each side by '-3'.
a = 3

Simplifying
a = 3

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