Question

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

Answer 1

`\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