Question

1/3X + 1/2X + 3/10 = X + 5/6
​

Answer 1

Respuesta:

$x=-\frac{16}{5}$

Explicación paso a paso:

$\frac{1}{3}x+\frac{1}{2}x+\frac{3}{10}=x+\frac{5}{6}\\\\\\\mathrm{Restar\:}\frac{3}{10}\mathrm{\:de\:ambos\:lados}\\\\\\\frac{1}{3}x+\frac{1}{2}x+\frac{3}{10}-\frac{3}{10}=x+\frac{5}{6}-\frac{3}{10}\\\\\\\frac{1}{3}x+\frac{1}{2}x=x+\frac{8}{15}\\\\\\\mathrm{Restar\:}x\mathrm{\:de\:ambos\:lados}\\\\\\\frac{1}{3}x+\frac{1}{2}x-x=x+\frac{8}{15}-x\\\\\\-\frac{1}{6}x=\frac{8}{15}\\\\\\\mathrm{Multiplicar\:ambos\:lados\:por\:}-6$

$\left(-\frac{1}{6}x\right)\left(-6\right)=\frac{8\left(-6\right)}{15}\\\\\\\\x=-\frac{16}{5}$