5(3-a)=-3(2-a)

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Solution for 5(3-a)=-3(2-a) equation:


Simplifying
5(3 + -1a) = -3(2 + -1a)
(3 * 5 + -1a * 5) = -3(2 + -1a)
(15 + -5a) = -3(2 + -1a)
15 + -5a = (2 * -3 + -1a * -3)
15 + -5a = (-6 + 3a)

Solving
15 + -5a = -6 + 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 = -6 + 3a + -3a

Combine like terms: -5a + -3a = -8a
15 + -8a = -6 + 3a + -3a

Combine like terms: 3a + -3a = 0
15 + -8a = -6 + 0
15 + -8a = -6

Add '-15' to each side of the equation.
15 + -15 + -8a = -6 + -15

Combine like terms: 15 + -15 = 0
0 + -8a = -6 + -15
-8a = -6 + -15

Combine like terms: -6 + -15 = -21
-8a = -21

Divide each side by '-8'.
a = 2.625

Simplifying
a = 2.625

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