3(a+5)=9[a-(4-a)]

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Solution for 3(a+5)=9[a-(4-a)] equation:


Simplifying
3(a + 5) = 9[a + -1(4 + -1a)]

Reorder the terms:
3(5 + a) = 9[a + -1(4 + -1a)]
(5 * 3 + a * 3) = 9[a + -1(4 + -1a)]
(15 + 3a) = 9[a + -1(4 + -1a)]
15 + 3a = 9[a + (4 * -1 + -1a * -1)]
15 + 3a = 9[a + (-4 + 1a)]

Reorder the terms:
15 + 3a = 9[-4 + a + 1a]

Combine like terms: a + 1a = 2a
15 + 3a = 9[-4 + 2a]
15 + 3a = [-4 * 9 + 2a * 9]
15 + 3a = [-36 + 18a]

Solving
15 + 3a = -36 + 18a

Solving for variable 'a'.

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

Add '-18a' to each side of the equation.
15 + 3a + -18a = -36 + 18a + -18a

Combine like terms: 3a + -18a = -15a
15 + -15a = -36 + 18a + -18a

Combine like terms: 18a + -18a = 0
15 + -15a = -36 + 0
15 + -15a = -36

Add '-15' to each side of the equation.
15 + -15 + -15a = -36 + -15

Combine like terms: 15 + -15 = 0
0 + -15a = -36 + -15
-15a = -36 + -15

Combine like terms: -36 + -15 = -51
-15a = -51

Divide each side by '-15'.
a = 3.4

Simplifying
a = 3.4

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