Solve 2x-4(x-7)leq3

$$2 x - 4 ( x - 7 ) \leq 3$$

Solve for x

$$x\geq \frac{25}{2}$$

Solution Steps

Use the distributive property to multiply -4 by x-7.

$$2x-4x+28\leq 3$$

Combine 2x and -4x to get -2x.

$$-2x+28\leq 3$$

Subtract 28 from both sides.

$$-2x\leq 3-28$$

Subtract 28 from 3 to get -25.

$$-2x\leq -25$$

Divide both sides by -2. Since -2 is negative, the inequality direction is changed.

$$x\geq \frac{-25}{-2}$$

Fraction \frac{-25}{-2} can be simplified to \frac{25}{2} by removing the negative sign from both the numerator and the denominator.

$$x\geq \frac{25}{2}$$