Problem

Question
Given $f(x)=5 x+4$, solve for $x$ when $f(x)=-6$.

Answer

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Answer

Final Answer: The solution to the equation is \(x=\boxed{-2}\).

Steps

Step 1 :We are given a linear function \(f(x)=5x+4\) and we are asked to find the value of \(x\) when \(f(x)=-6\). This is a simple algebraic problem where we need to substitute \(f(x)\) with \(-6\) and solve for \(x\).

Step 2 :Substitute \(f(x)\) with \(-6\) in the equation, we get \(5x + 4 = -6\).

Step 3 :Solving this equation for \(x\), we get \(x=-2\).

Step 4 :Final Answer: The solution to the equation is \(x=\boxed{-2}\).

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