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Given:
P(x)=-3(8-x)
Solve:

p(x)=54

Given: $P(x)=-3(8-x)$ $\newline$ Solve: $\newline$ $p(x)=54$

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Solve two-step equations with parentheses

Full solution

Q. Given:

P(x)=-3(8-x)

\newline

Solve:

\newline

p(x)=54

Given Equation: $P(x) = -3(8 - x)$ is given, and we need to find $x$ when $P(x) = 54$ . $\newline$ So, we set the equation $-3(8 - x) = 54$ .
Divide by $-3$ : First, divide both sides by $-3$ to isolate the parentheses. $\newline$ So, $8 - x = \frac{54}{-3}$ .
Isolate $x$ : Calculating the division gives us $8 - x = -18$ .
Solve for x: Now, we need to get x by itself, so we'll add $x$ to both sides and subtract $18$ from both sides. $\newline$ This gives us $8 - 18 = x$ .
Final Answer: Simplifying the left side, we get $-10 = x$ .

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