Solve 2/3x-3geq7

$$\frac{ 2 }{ 3 } x-3 \geq 7$$

Solve for x

$$x\geq 15$$

Solution Steps

Add 3 to both sides.

$$\frac{2}{3}x\geq 7+3$$

Add 7 and 3 to get 10.

$$\frac{2}{3}x\geq 10$$

Multiply both sides by \frac{3}{2}, the reciprocal of \frac{2}{3}. Since \frac{2}{3} is positive, the inequality direction remains the same.

$$x\geq 10\times \frac{3}{2}$$

Express 10\times \frac{3}{2} as a single fraction.

$$x\geq \frac{10\times 3}{2}$$

Multiply 10 and 3 to get 30.

$$x\geq \frac{30}{2}$$

Divide 30 by 2 to get 15.

$$x\geq 15$$