Solve 5(x-2)-1>3+8(x+1)

$$5 ( x - 2 ) - 1 > 3 + 8 ( x + 1 )$$

Solve for x

$$x<-\frac{22}{3}$$

Solution Steps

Use the distributive property to multiply 5 by x-2.

$$5x-10-1>3+8\left(x+1\right)$$

Subtract 1 from -10 to get -11.

$$5x-11>3+8\left(x+1\right)$$

Use the distributive property to multiply 8 by x+1.

$$5x-11>3+8x+8$$

Add 3 and 8 to get 11.

$$5x-11>11+8x$$

Subtract 8x from both sides.

$$5x-11-8x>11$$

Combine 5x and -8x to get -3x.

$$-3x-11>11$$

Add 11 to both sides.

$$-3x>11+11$$

Add 11 and 11 to get 22.

$$-3x>22$$

Divide both sides by -3. Since -3 is negative, the inequality direction is changed.

$$x<-\frac{22}{3}$$