Question

Como se resuelve la ecuación 8/7x+(-5/4x+3/2)-(-3/8)=5/2​

Answer 1

Hola!

$\dfrac{8}{7x+\left(-\dfrac{5}{4}x+\dfrac{3}{2}\right)-\left(-\dfrac{3}{8}\right)}=\dfrac{5}{2}$

⭐Explicación paso a paso:

$\dfrac{64}{46x+15}=\dfrac{5}{2}$

$64\cdot \:2=\left(46x+15\right)\cdot \:5$

$128=\left(46x+15\right)\cdot \:5$

$\left(46x+15\right)\cdot \:5=128$

$46x+15=\dfrac{128}{5}$

$46x+15-15=\dfrac{128}{5}-15$

$46x=\dfrac{53}{5}$

$\dfrac{46x}{46}=\dfrac{\dfrac{53}{5}}{46}$

$x=\dfrac{53}{230}$

Saludos cordiales