Respuesta:
[tex]\boxed{x=-\dfrac{2}{3}}[/tex]
Explicación paso a paso:
[tex]-3(5x-8)+2[3(x-1)-(2-5x)]=6-2(1+7x)\\\\-15x+24+2(3x-3-2+5x)=6-2-14x\\\\-15x+24+2(8x-5)=4-14x\\\\-15x+24+16x-10=4-14x\\\\x+14=4-14x\\\\x+14-14+14x=4-14x-14+14x\\\\15x=-10\\\\\dfrac{15x}{15}=\dfrac{-10}{15}\\\\\boxed{x=-\dfrac{2}{3}}[/tex]