Solve -5-x+4/3>11-3x

$$- 5 - \frac { x + 4 } { 3 } > 11 - 3 x$$

Solve for x

$$x>\frac{13}{2}$$

Solution Steps

Multiply both sides of the equation by 3. Since 3 is positive, the inequality direction remains the same.

$$-15-\left(x+4\right)>33-9x$$

To find the opposite of x+4, find the opposite of each term.

$$-15-x-4>33-9x$$

Subtract 4 from -15 to get -19.

$$-19-x>33-9x$$

Add 9x to both sides.

$$-19-x+9x>33$$

Combine -x and 9x to get 8x.

$$-19+8x>33$$

Add 19 to both sides.

$$8x>33+19$$

Add 33 and 19 to get 52.

$$8x>52$$

Divide both sides by 8. Since 8 is positive, the inequality direction remains the same.

$$x>\frac{52}{8}$$

Reduce the fraction \frac{52}{8} to lowest terms by extracting and canceling out 4.

$$x>\frac{13}{2}$$