Question

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Answer 1

$\huge\text{Hey there!}$

$\huge\textbf{Equation: }$

$\mathbf{\dfrac{2x - 20}{3} = 2x}$

$\huge\textbf{SIMPLIFY IT or DISTRIBUTE:}$

$\mathbf{\dfrac{2}{3}x - \dfrac{20}{3} = 2x}$

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

$\mathbf{\dfrac{2}{3}x - \dfrac{20}{3} - 2x = 2x - 2x}$

$\huge\textbf{SIMPLIFY IT!}$

$\mathbf{- \dfrac{4}{3}x - \dfrac{20}{3} = 0}$

$\huge\textbf{ADD }\boxed{\rm{\bf \dfrac{20}{3}}}\huge\textbf{ to BOTH SIDES:}$

$\mathbf{-\dfrac{4}{3}x - \dfrac{20}{3} + \dfrac{20}{3} = 0 + \dfrac{20}{3}}$

$\huge\textbf{SIMPLIFY IT!}$

$\mathbf{-\dfrac{4}{3}x = \dfrac{20}{3}}$

$\huge\textbf{MULTIPLY }\boxed{\rm \bf {\dfrac{3}{-4}}}\huge\textbf{ to BOTH SIDES:}$

$\mathbf{\dfrac{3}{-4}\times\dfrac{-4}{3}x = \dfrac{3}{-4}\times\dfrac{20}{3}}$

$\huge\textbf{SIMPLIFY IT!}$

$\mathbf{x = -5}$

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

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

~$\frak{Amphitrite1040:)}$

Answer 2

$\large\displaystyle\begin{gathered}\sf \frac{2x-20}{3}=2x \end{gathered}$

Multiply both sides of the equation by 3.

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

Subtract 6x on both sides.

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

Combine 2x and −6x to get −4x.

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

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

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

Divide both sides by −4.

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

Divide 20 by −4 to get −5.

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

{ Pisces04 }