Question

7x+6(x+10)>5 (-3-3x)+3x​

Answer 1

`\large\boxed{x>-3\to x\in(-3,\ \infty)}`

Explanation:

`7x+6(x+10)>5(-3-3x)+3x\qquad\text{use the distributive property}\\\\7x+(6)(x)+(6)(10)>(5)(-3)+(5)(-3x)+3x\\\\7x+6x+60>-15-15x+3x\qquad\text{combine like terms}\\\\(7x+6x)+60>(-15x+3x)-15\\\\13x+60>-12x-15\qquad\text{subtract 60 from both sides}\\\\13x>-12x-75\qquad\text{add 12x to both sides}\\\\25x>-75\qquad\text{divide both sides by 25}\\\\x>-3`