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??????????????????????????????-example-1

2 Answers

6 votes


\large\displaystyle\text{$\begin{gathered}\sf (2x-20)/(3)=2x \end{gathered}$}

Multiply both sides of the equation by 3.


\large\displaystyle\text{$\begin{gathered}\sf 2x-20=6x \end{gathered}$}

Subtract 6x on both sides.


\large\displaystyle\text{$\begin{gathered}\sf 2x-20-6x=0 \end{gathered}$}

Combine 2x and −6x to get −4x.


\large\displaystyle\text{$\begin{gathered}\sf -4x-20=0 \end{gathered}$}

Add 20 to both sides. Any value plus zero results in its same value.


\large\displaystyle\text{$\begin{gathered}\sf -4x=20 \end{gathered}$}

Divide both sides by −4.


\large\displaystyle\text{$\begin{gathered}\sf x=(20)/(-4) \end{gathered}$}

Divide 20 by −4 to get −5.


\large\displaystyle\text{$\begin{gathered}\sf x=-5 \ \ \to \ \ \ Answer \end{gathered}$}

{ Pisces04 }

User Alex Coppock
by
8.8k points
5 votes


\huge\text{Hey there!}


\huge\textbf{Equation: }


\mathbf{(2x - 20)/(3) = 2x}


\huge\textbf{SIMPLIFY IT or DISTRIBUTE:}


\mathbf{(2)/(3)x - (20)/(3) = 2x}


\huge\textbf{SUBTRACT 2x to BOTH SIDES:}


\mathbf{(2)/(3)x - (20)/(3) - 2x = 2x - 2x}


\huge\textbf{SIMPLIFY IT!}


\mathbf{- (4)/(3)x - (20)/(3) = 0}


\huge\textbf{ADD }\boxed{\rm{\bf (20)/(3)}}\huge\textbf{ to BOTH SIDES:}


\mathbf{-(4)/(3)x - (20)/(3) + (20)/(3) = 0 + (20)/(3)}


\huge\textbf{SIMPLIFY IT!}


\mathbf{-(4)/(3)x = (20)/(3)}


\huge\textbf{MULTIPLY }\boxed{\rm \bf {(3)/(-4)}}\huge\textbf{ to BOTH SIDES:}


\mathbf{(3)/(-4)*(-4)/(3)x = (3)/(-4)*(20)/(3)}


\huge\textbf{SIMPLIFY IT!}


\mathbf{x = -5}


\huge\text{Therefore, your answer should be: \boxed{\mathsf{x = -5}}}\huge\chekmark


\huge\text{Good luck on your assignment \& enjoy your day!}

~
\frak{Amphitrite1040:)}

User Karl Casas
by
9.0k points

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