Solve 2(x+4)geq2.5x

$$2 ( x + 4 ) \geq 2.5 x$$

Solve for x

$$x\leq 16$$

Solution Steps

Use the distributive property to multiply 2 by x+4.

$$2x+8\geq 2.5x$$

Subtract 2.5x from both sides.

$$2x+8-2.5x\geq 0$$

Combine 2x and -2.5x to get -0.5x.

$$-0.5x+8\geq 0$$

Subtract 8 from both sides. Anything subtracted from zero gives its negation.

$$-0.5x\geq -8$$

Divide both sides by -0.5. Since -0.5 is negative, the inequality direction is changed.

$$x\leq \frac{-8}{-0.5}$$

Expand \frac{-8}{-0.5} by multiplying both numerator and the denominator by 10.

$$x\leq \frac{-80}{-5}$$

Divide -80 by -5 to get 16.

$$x\leq 16$$