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5/6x -2/3=-4 what is x

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\boldsymbol{\sf{(5)/(6)x-(2)/(3)=-4 }}

Add 2/3 to both sides.


\boldsymbol{\sf{(5)/(6)x=-4+(3)/(2) }}

Convert −4 to fraction - 13/2.


\boldsymbol{\sf{(5)/(6)x=-(12)/(2) +(2)/(2) }}

Since -12/2 and 2/3 have the same denominator, add them by adding their numerators.


\boldsymbol{\sf{(5)/(6)x=(-12+2)/(3) \ \ \longmapsto \ \ Add }}


\boldsymbol{\sf{(5)/(6)x=-(10)/(3) }}

Multiply both sides by 5/6, the reciprocal of 6/5.


\boldsymbol{\sf{x=-(10)/(3)*\left((6)/(5)\right) }}

Multiply −3/10 times 5/6 by multiplying numerator times numerator and denominator times denominator.


\boldsymbol{\sf{x=(-10*6)/(3*5) \ \ \longmapsto \ \ Multiply }}


\boldsymbol{\sf{x=(-60)/(15) \ \ \longmapsto \ \ Divide }}


\boxed{\boldsymbol{\sf{Answer \ \ \longmapsto \ x=-4}}}

Skandar

User Yasarui
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