Solve 7x+6leq14x-23

$$7 x + 6 \leq 14 x - 23$$

Solve for x

$$x\geq \frac{29}{7}$$

Solution Steps

Subtract 14x from both sides.

$$7x+6-14x\leq -23$$

Combine 7x and -14x to get -7x.

$$-7x+6\leq -23$$

Subtract 6 from both sides.

$$-7x\leq -23-6$$

Subtract 6 from -23 to get -29.

$$-7x\leq -29$$

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

$$x\geq \frac{-29}{-7}$$

Fraction \frac{-29}{-7} can be simplified to \frac{29}{7} by removing the negative sign from both the numerator and the denominator.

$$x\geq \frac{29}{7}$$