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(5x-6)/(3x-5) =2 solution set

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Answer to a math question (5x-6)/(3x-5) =2 solution set

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Madelyn
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$\begin{array} { l }\frac{ 5x-6 }{ 3x-5 }=2,& x≠\frac{ 5 }{ 3 }\end{array}$
$5x-6=2\left( 3x-5 \right)$
$5x-6=6x-10$
$5x-6-6x=-10$
$5x-6x=-10+6$
$-x=-10+6$
$-x=-4$
$\begin{array} { l }x=4,& x≠\frac{ 5 }{ 3 }\end{array}$
$x=4$

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