Solve for r. {:[12-(1)/(5)r=2r+1],[r=◻]:}

Write Equation: Write down the given equation. 12 - (1/5)r = 2r + 1Eliminate Fraction: Multiply every term by 5 to eliminate the fraction. 5 * (12 - (1/5)r) = 5 * (2r + 1) 60 - r = 10r + 5Rearrange Terms: Move all terms containing r to one side and constant terms to the other side. 60 - r - 10r = 10r + 5 - 10r 60 - 11r = 5Isolate Variable Term: Subtract 60 from both sides to isolate the variable term. 60 - 11r - 60 = 5 - 60 -11r = -55Solve for r: Divide both sides by -11 to solve for r. -11r / -11 = -55 / -11 r = 5

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Solve for
r.

{:[12-(1)/(5)r=2r+1],[r=◻]:}

Solve for $r$ . $\newline$ $\begin{array}{l} 12-\frac{1}{5} r=2 r+1 \\ r=\square \end{array}$

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Math Problems

Algebra 1

Solve linear equations with variables on both sides

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Q. Solve for

r

\newline

\begin{array}{l} 12-\frac{1}{5} r=2 r+1 \\ r=\square \end{array}

Write Equation: Write down the given equation. $$12$ - \left(\frac{$1$}{$5$}\right)r = $2$r + $1$
Eliminate Fraction: Multiply every term by $5$ to eliminate the fraction.$\newline$$5 \times (12 - (\frac{1}{5})r) = 5 \times (2r + 1)$$\newline$$60 - r = 10r + 5$
Rearrange Terms: Move all terms containing $r$ to one side and constant terms to the other side.\[60 - r - 10r = 10r + 5 - 10r\]\[60 - 11r = 5\]
Isolate Variable Term: Subtract $60$ from both sides to isolate the variable term.$\newline$\[60 - 11r - 60 = 5 - 60\]$\newline$\[-11r = -55\]
Solve for r: Divide both sides by $ -11 $ to solve for r.\[\frac{-11r}{-11} = \frac{-55}{-11}\]\[r = 5\]