Question

Solve the inequality -5(3x+4)<6-3x

2
Please help with steps i don't remember how to do this.

Answer 1

`-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 > -(26)/(12)\\\\x > -(26:2)/(12:2)\\\\x > -(13)/(6)\to x\in\left(-(13)/(6),\ \infty\right)`