Solve 9x-2xgeq14-9(x-4)

$$9 x - 2 x \geq 14 - 9 ( x - 4 )$$

Solve for x

$$x\geq \frac{25}{8}$$

Solution Steps

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

$$7x\geq 14-9\left(x-4\right)$$

Use the distributive property to multiply -9 by x-4.

$$7x\geq 14-9x+36$$

Add 14 and 36 to get 50.

$$7x\geq 50-9x$$

Add 9x to both sides.

$$7x+9x\geq 50$$

Combine 7x and 9x to get 16x.

$$16x\geq 50$$

Divide both sides by 16. Since 16 is positive, the inequality direction remains the same.

$$x\geq \frac{50}{16}$$

Reduce the fraction \frac{50}{16} to lowest terms by extracting and canceling out 2.

$$x\geq \frac{25}{8}$$