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Given
f(x)=5x-3, solve for
x when
f(x)=-8.
Answer:

Given $f(x)=5 x-3$ , solve for $x$ when $f(x)=-8$ . $\newline$ Answer:

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Find a value using two-variable equations

Full solution

Q. Given

f(x)=5 x-3

, solve for

x

when

f(x)=-8

.

\newline

Answer:

Given function and goal: We are given the function $f(x) = 5x - 3$ and we need to find the value of $x$ when $f(x) = -8$ . $\newline$ Set $f(x)$ equal to $-8$ . $\newline$ $-8 = 5x - 3$
Set equation equal to $-8$ : Add $3$ to both sides of the equation to isolate the term with $x$ on one side. $\newline$ $-8 + 3 = 5x - 3 + 3$ $\newline$ $-5 = 5x$
Isolate x term: Divide both sides of the equation by $5$ to solve for x. $\newline$ $-\frac{5}{5} = \frac{5x}{5}$ $\newline$ $x = -1$

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