Problem

Solve the following equation for $\boldsymbol{x}$.
\[
-5(3 x+8)-x=-8
\]

Answer

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Answer

The solution to the equation is \( \boxed{-2} \).

Steps

Step 1 :Distribute -5 into the parentheses to get -15x - 40 - x = -8.

Step 2 :Combine like terms to get -16x - 40 = -8.

Step 3 :Add 40 to both sides of the equation to get -16x = 32.

Step 4 :Divide both sides by -16 to solve for x.

Step 5 :The solution to the equation is \( \boxed{-2} \).

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