Solve -4x+6geq3(x-22)

$$- 4 x + 6 \geq 3 ( x - 22 )$$

Solve for x

$$x\leq \frac{72}{7}$$

Solution Steps

Use the distributive property to multiply 3 by x-22.

$$-4x+6\geq 3x-66$$

Subtract 3x from both sides.

$$-4x+6-3x\geq -66$$

Combine -4x and -3x to get -7x.

$$-7x+6\geq -66$$

Subtract 6 from both sides.

$$-7x\geq -66-6$$

Subtract 6 from -66 to get -72.

$$-7x\geq -72$$

Divide both sides by -7. Since -7 is negative, the inequality direction is changed.

$$x\leq \frac{-72}{-7}$$

Fraction \frac{-72}{-7} can be simplified to \frac{72}{7} by removing the negative sign from both the numerator and the denominator.

$$x\leq \frac{72}{7}$$