-5(a-3)=-8(a+6)

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Solution for -5(a-3)=-8(a+6) equation:


Simplifying
-5(a + -3) = -8(a + 6)

Reorder the terms:
-5(-3 + a) = -8(a + 6)
(-3 * -5 + a * -5) = -8(a + 6)
(15 + -5a) = -8(a + 6)

Reorder the terms:
15 + -5a = -8(6 + a)
15 + -5a = (6 * -8 + a * -8)
15 + -5a = (-48 + -8a)

Solving
15 + -5a = -48 + -8a

Solving for variable 'a'.

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

Add '8a' to each side of the equation.
15 + -5a + 8a = -48 + -8a + 8a

Combine like terms: -5a + 8a = 3a
15 + 3a = -48 + -8a + 8a

Combine like terms: -8a + 8a = 0
15 + 3a = -48 + 0
15 + 3a = -48

Add '-15' to each side of the equation.
15 + -15 + 3a = -48 + -15

Combine like terms: 15 + -15 = 0
0 + 3a = -48 + -15
3a = -48 + -15

Combine like terms: -48 + -15 = -63
3a = -63

Divide each side by '3'.
a = -21

Simplifying
a = -21

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