Questions: Given f(x) = 5x - 3, solve for x when f(x) = 7.

Transcript text: Given $f(x)=5 x-3$, solve for $x$ when $f(x)=7$.

Solution

Solution Steps

Step 1: Substitute the given value into the function

We are given the function $ f(x) = 5x - 3 $ and asked to solve for $ x $ when $ f(x) = 7 $. Substitute $ f(x) = 7 $ into the equation: \[ 7 = 5x - 3 \]

Step 2: Solve for $ x $

Add 3 to both sides of the equation to isolate the term with $ x $: \[ 7 + 3 = 5x \] \[ 10 = 5x \]

Now, divide both sides by 5 to solve for $ x $: \[ x = \frac{10}{5} \] \[ x = 2 \]

Final Answer

\[ \boxed{x = 2} \]

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