Question

8/15(3/4x-1)=3/2+3x como lo puedo resolver

Answer 1

Respuesta:

$x=-\frac{61}{78}$

Explicación paso a paso:

8/15(3/4x-1)=3/2+3x

$\frac{8}{15}\left(\frac{3}{4}x-1\right)=\frac{3}{2}+3x\\\\\frac{2x}{5}-\frac{8}{15}=\frac{3}{2}+3x\\\\\frac{2x}{5}-\frac{8}{15}+\frac{8}{15}=\frac{3}{2}+3x+\frac{8}{15}\\\\\frac{2x}{5}=3x+\frac{61}{30}\\\\\frac{2x}{5}\cdot \:5=3x\cdot \:5+\frac{61}{30}\cdot \:5\\\\2x=15x+\frac{61}{6}\\\\2x-15x=15x+\frac{61}{6}-15x\\\\-13x=\frac{61}{6}\\\\\frac{-13x}{-13}=\frac{\frac{61}{6}}{-13}\\\\x=-\frac{61}{78}$