(a-6)-(3a-8)=-2(5+a)

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Solution for (a-6)-(3a-8)=-2(5+a) equation:


Simplifying
(a + -6) + -1(3a + -8) = -2(5 + a)

Reorder the terms:
(-6 + a) + -1(3a + -8) = -2(5 + a)

Remove parenthesis around (-6 + a)
-6 + a + -1(3a + -8) = -2(5 + a)

Reorder the terms:
-6 + a + -1(-8 + 3a) = -2(5 + a)
-6 + a + (-8 * -1 + 3a * -1) = -2(5 + a)
-6 + a + (8 + -3a) = -2(5 + a)

Reorder the terms:
-6 + 8 + a + -3a = -2(5 + a)

Combine like terms: -6 + 8 = 2
2 + a + -3a = -2(5 + a)

Combine like terms: a + -3a = -2a
2 + -2a = -2(5 + a)
2 + -2a = (5 * -2 + a * -2)
2 + -2a = (-10 + -2a)

Add '2a' to each side of the equation.
2 + -2a + 2a = -10 + -2a + 2a

Combine like terms: -2a + 2a = 0
2 + 0 = -10 + -2a + 2a
2 = -10 + -2a + 2a

Combine like terms: -2a + 2a = 0
2 = -10 + 0
2 = -10

Solving
2 = -10

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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