[tex]-5(3x+4)<6-3x\ \ \ \ |\text{use distributive property}\\\\(-5)(3x)+(-5)(4) < 6-3x\\\\-15x-20 < 6-3x\ \ \ \ |+20\\\\-15x < 26-3x\ \ \ \ |+3x\\\\-12x < 26\ \ \ |\text{change the signs}\\\\12x > -26\ \ \ \ |:12\\\\x > -\dfrac{26}{12}\\\\x > -\dfrac{26:2}{12:2}\\\\x > -\dfrac{13}{6}\to x\in\left(-\dfrac{13}{6},\ \infty\right)[/tex]
