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26 pi=2pi x

$26 \pi=2 \pi x$

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Percents of numbers and money amounts

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Q.

26 \pi=2 \pi x

Identify Equation: Step $1$ : Identify the equation that needs to be solved. $\newline$ The equation given is $26 \pi = 2\pi x$ . We need to solve for $x$ .
Isolate Variable: Step $2$ : Isolate the variable $x$ by dividing both sides of the equation by $2\pi$ . $\newline$ To isolate $x$ , we divide both sides of the equation by $2\pi$ : $\newline$ $\frac{26 \pi}{2\pi} = \frac{2\pi x}{2\pi}$ .
Perform Division: Step $3$ : Perform the division to solve for $x$ . $\newline$ $\frac{26 \pi}{2\pi} = \frac{2\pi x}{2\pi}$ simplifies to $13 = x$ because $\frac{26}{2} = 13$ and $\frac{\pi}{\pi} = 1$ .
Check Solution: Step $4$ : Check the solution for any mathematical errors. $\newline$ Substitute $x = 13$ back into the original equation to check: $\newline$ $26 \pi = 2\pi \cdot 13$ $\newline$ $26 \pi = 26 \pi$ $\newline$ Since both sides are equal, the solution is correct.

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