Solve for x
x\geq -\frac{14}{3}
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2x+6\leq 5\left(x+4\right)
Use the distributive property to multiply 2 by x+3.
2x+6\leq 5x+20
Use the distributive property to multiply 5 by x+4.
2x+6-5x\leq 20
Subtract 5x from both sides.
-3x+6\leq 20
Combine 2x and -5x to get -3x.
-3x\leq 20-6
Subtract 6 from both sides.
-3x\leq 14
Subtract 6 from 20 to get 14.
x\geq -\frac{14}{3}
Divide both sides by -3. Since -3 is negative, the inequality direction is changed.
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