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question given f(x)=5x + 4, solve for x when f(x)= - 6.

Question

question given f(x)=5x + 4, solve for x when f(x)= - 6.

Explanation:

Step1: Substitute f(x) value

Substitute \(f(x)= - 6\) into \(f(x)=5x + 4\), getting \(-6=5x + 4\).

Step2: Isolate the term with x

Subtract 4 from both sides: \(-6-4 = 5x+4 - 4\), which simplifies to \(-10 = 5x\).

Step3: Solve for x

Divide both sides by 5: \(\frac{-10}{5}=x\), so \(x=-2\).

Answer:

\(x = - 2\)