Question

Solve the linear equation:

$x+7-\frac{8x}{3}=\frac{17}{6}-\frac{5x}{2}$

• A. $x=-5$
• B. $x=-7$
• C. $x=9$
• D. $x=2$

Answer 1

The correct option is A $x=-5$

$Given,x+7-\frac{8x}{3}=\frac{17}{6}-\frac{5x}{2}⟹\frac{3x+21-8x}{3}=\frac{17-15x}{6}\left[TakingLCMonLHSandRHS\right]⟹\frac{-5x+21}{3}=\frac{17-15x}{6}⟹-5x+21=\frac{17-15x}{2}\left[Multiplyingbothsidesby3\right]⟹2(-5x+21)=17-15x[Bycross-multiplication]⟹-10x+42=17-15x⟹-10x+15x=17-42[Transposing-15xtoLHSand42toRHS]⟹5x=-25⟹x=-5\left[Dividebothsidesby5\right]$