Question

Solve (3x)/5 -x= x/15 - 28/3

Answer 1

`\cfrac{3x}{5}-x=\cfrac{x}{15}-\cfrac{28}{3}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{15}}{15\left( \cfrac{3x}{5}-x \right)=15\left( \cfrac{x}{15}-\cfrac{28}{3} \right)} \\\\\\ 9x-15x~~ = ~~ x-140\implies -6x=x-140\implies 0=7x-140 \\\\\\ 140=7x\implies \cfrac{140}{7}=x\implies \boxed{20=x}`