5(a+3)=3(a-1)

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Solution for 5(a+3)=3(a-1) equation:


Simplifying
5(a + 3) = 3(a + -1)

Reorder the terms:
5(3 + a) = 3(a + -1)
(3 * 5 + a * 5) = 3(a + -1)
(15 + 5a) = 3(a + -1)

Reorder the terms:
15 + 5a = 3(-1 + a)
15 + 5a = (-1 * 3 + a * 3)
15 + 5a = (-3 + 3a)

Solving
15 + 5a = -3 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
15 + 5a + -3a = -3 + 3a + -3a

Combine like terms: 5a + -3a = 2a
15 + 2a = -3 + 3a + -3a

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

Add '-15' to each side of the equation.
15 + -15 + 2a = -3 + -15

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

Combine like terms: -3 + -15 = -18
2a = -18

Divide each side by '2'.
a = -9

Simplifying
a = -9

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