Respuesta :

[tex]Solution,\:solve\:for\:x,\:\frac{5}{6}x=\frac{10}{3}\quad :\quad x=4[/tex]

[tex]Steps[/tex]

[tex]\frac{5}{6}x=\frac{10}{3}[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}6,\\6\cdot \frac{5}{6}x=\frac{10\cdot \:6}{3}[/tex]

[tex]\mathrm{Simplify}:\\\\6\cdot \frac{5}{6}x,\\\mathrm{Multiply\:fractions}:\quad \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c},\\\frac{5\cdot \:6}{6}x,\\\mathrm{Cancel\:the\:common\:factor:}\:6,\\x\cdot \:5\\\\\frac{10\cdot \:6}{3},\\\mathrm{Multiply\:the\:numbers:}\:10\cdot \:6=60,\\\frac{60}{3},\\\mathrm{Divide\:the\:numbers:}\:\frac{60}{3}=20,\\\\5x=20[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}5,\\\frac{5x}{5}=\frac{20}{5}[/tex]

[tex]\mathrm{Simplify},\\x=4[/tex]

[tex]\mathrm{The\:Correct\:Answer\:is\:x=4}[/tex]

[tex]\mathrm{Hope\:This\:Helps!!!}[/tex]

[tex]\mathrm{Please\:Mark\:Brainliest!!!}[/tex]

[tex]\mathrm{-Austint1414}[/tex]

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