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

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


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

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

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

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

Combine like terms: -15 + 15 = 0
0 + 5a = -15 + 15 + -3a
5a = -15 + 15 + -3a

Combine like terms: -15 + 15 = 0
5a = 0 + -3a
5a = -3a

Solving
5a = -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.
5a + 3a = -3a + 3a

Combine like terms: 5a + 3a = 8a
8a = -3a + 3a

Combine like terms: -3a + 3a = 0
8a = 0

Divide each side by '8'.
a = 0

Simplifying
a = 0

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