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for what value of x does [tex] \frac{2x - 4}{x + 7} = \frac{1}{3} [/tex]A) 2B) 19/5C) 33/5D) -7

Sagot :

[tex]\frac{2x-4}{x+7}=\frac{1}{3}[/tex][tex]\begin{gathered} \text{Multiply both sides by (x+7):} \\ 2x-4=\frac{x+7}{3} \\ \text{Multiply both sides by 3:} \\ 6x-12=x+7 \\ \text{Subtract x from both sides:} \\ 5x-12=7 \\ \text{add 12 to both sides:} \\ 5x=19 \\ \text{Divide both sides by 5:} \\ x=\frac{19}{5} \end{gathered}[/tex]