Question

x/4 - x-5/6 = 1+2.(x-5)/3 equaçoes

Answer 1

$\dfrac{x}{4}-x-\dfrac{5}{6}=1+2\cdot\dfrac{x-5}{3}\\\\\\\dfrac{3x-12x-10=12+4\cdot2\cdot(x-5)}{12}\\\\\\3x-12x-10=12+4\cdot2\cdot(x-5)\\\\-9x-10=12+8x-40\\\\40-10-12=8x+9x\\\\18=17x\\\\x=\dfrac{18}{17}\\\\\\\boxed{S=\left\{\dfrac{18}{17}\right\}}$