Solve for x. Assume the equation has a solution for x. {:[-px+r=-8x-2],[x=◻]:}

Identify System and Goal: Identify the given system of equations and the goal of solving for x. {:[-px+r=-8x-2],[x=◻]:} We need to find the value of x that satisfies both equations.Combine Like Terms: Combine like terms in the first equation to isolate x. -p*x + r = -8*x - 2 Add px to both sides to get all x terms on one side. r = -8*x + p*x - 2 r = x*(-8 + p) - 2Isolate x in the Equation: Isolate x in the equation. r = x*(-8 + p) - 2 Add 2 to both sides. r + 2 = x*(-8 + p) Divide both sides by (-8 + p) to solve for x. x = (r + 2) / (-8 + p)

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Solve for
x.
Assume the equation has a solution for
x.

{:[-px+r=-8x-2],[x=◻]:}

Solve for $x$ . $\newline$ Assume the equation has a solution for $x$ . $\newline$ $\begin{array}{l} -p x+r=-8 x-2 \\ x=\square \end{array}$

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Math Problems

Algebra 1

Rearrange multi-variable equations

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Q. Solve for

x

\newline

Assume the equation has a solution for

x

\newline

\begin{array}{l} -p x+r=-8 x-2 \\ x=\square \end{array}

Identify System and Goal: Identify the given system of equations and the goal of solving for $x$ .\begin{align*}\{-p\cdot x+r&=-8\cdot x-2\},\[1ex] \{x&=\square\}:\end{align*}We need to find the value of $x$ that satisfies both equations.
Combine Like Terms: Combine like terms in the first equation to isolate $x$ .
$-p \cdot x + r = -8 \cdot x - 2$
Add $p \cdot x$ to both sides to get all $x$ terms on one side.
$r = -8 \cdot x + p \cdot x - 2$
$r = x \cdot (-8 + p) - 2$
Isolate x in the Equation: Isolate x in the equation. $\newline$ $r = x(-8 + p) - 2$ $\newline$ Add $2$ to both sides. $\newline$ $r + 2 = x(-8 + p)$ $\newline$ Divide both sides by $(-8 + p)$ to solve for x. $\newline$ $x = \frac{r + 2}{-8 + p}$