Question

4/5x+3/4=1/2x-1/3 como es

Answer 1

Respuesta:

$x=-\frac{65}{18}$

Explicación paso a paso:

$\frac{4}{5}x+\frac{3}{4}=\frac{1}{2}x-\frac{1}{3}\\\\\frac{4}{5}x+\frac{3}{4}-\frac{3}{4}=\frac{1}{2}x-\frac{1}{3}-\frac{3}{4}\\\\\frac{4}{5}x=-\frac{13}{12}+\frac{1}{2}x\\\\\frac{4}{5}x-\frac{1}{2}x=-\frac{13}{12}+\frac{1}{2}x-\frac{1}{2}x\\\\\frac{3}{10}x=-\frac{13}{12}\\\\10\cdot \frac{3}{10}x=10\left(-\frac{13}{12}\right)\\\\3x=-\frac{65}{6}\\\\\frac{3x}{3}=\frac{-\frac{65}{6}}{3}\\\\x=-\frac{65}{18}$