Solve 6-7xleq3x-7

$$6 - 7 x \leq 3 x - 7$$

Solve for x

$$x\geq \frac{13}{10}$$

Solution Steps

Subtract 3x from both sides.

$$6-7x-3x\leq -7$$

Combine -7x and -3x to get -10x.

$$6-10x\leq -7$$

Subtract 6 from both sides.

$$-10x\leq -7-6$$

Subtract 6 from -7 to get -13.

$$-10x\leq -13$$

Divide both sides by -10. Since -10 is negative, the inequality direction is changed.

$$x\geq \frac{-13}{-10}$$

Fraction \frac{-13}{-10} can be simplified to \frac{13}{10} by removing the negative sign from both the numerator and the denominator.

$$x\geq \frac{13}{10}$$