Solve x-5/3-xgeq-3(x)

$$\frac { x - 5 } { 3 } - x \geq - 3 ( x )$$

Solve for x

$$x\geq \frac{5}{7}$$

Solution Steps

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

$$x-5-3x\geq -9x$$

Combine x and -3x to get -2x.

$$-2x-5\geq -9x$$

Add 9x to both sides.

$$-2x-5+9x\geq 0$$

Combine -2x and 9x to get 7x.

$$7x-5\geq 0$$

Add 5 to both sides. Anything plus zero gives itself.

$$7x\geq 5$$

Divide both sides by 7. Since 7 is positive, the inequality direction remains the same.

$$x\geq \frac{5}{7}$$