1 3 x + 6 - 1 2 x + 6 = - 8 What value of x is the

Question

1 3 x + 6 - 1 2 x + 6 = - 8 What value of x is the solution to the given equation?

Accepted Answer

The correct answer is 42 . The expression x + 6 is a factor of both terms on the left-hand side of the given equation. Therefore, the given equation can be written as x + 6 1 3 - 1 2 = - 8 , or x + 6 - 1 6 = - 8 . Multiplying each side of this equation by - 6 yields x + 6 = 48 . Subtracting 6 from each side of this equation yields x = 42 . Therefore, the value of x that is the solution to the given equation is 42 .

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