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Given
h(x)=-x-4, solve for
x when
h(x)=-8.
Answer:

Given $h(x)=-x-4$ , solve for $x$ when $h(x)=-8$ . $\newline$ Answer:

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Find a value using two-variable equations

Full solution

Q. Given

h(x)=-x-4

, solve for

x

when

h(x)=-8

.

\newline

Answer:

Given Function and Objective: We are given the function $h(x) = -x - 4$ and we need to find the value of $x$ when $h(x) = -8$ . $\newline$ Write down the equation with $h(x) = -8$ . $\newline$ $-8 = -x - 4$
Write Down Equation: To solve for $x$ , we need to isolate $x$ on one side of the equation. Start by adding $4$ to both sides of the equation to move the constant term to the other side. $\newline$ $-8 + 4 = -x - 4 + 4$ $\newline$ $-4 = -x$
Isolate $x$ by Adding $4$ : Now, we need to get rid of the negative sign in front of $x$ . We can do this by multiplying both sides of the equation by $-1$ .
$-1 \times (-4) = -1 \times (-x)$
$4 = x$

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