Solve 3(3-2x)leqx+4

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

Solve for x

$$x\geq \frac{5}{7}$$

Solution Steps

Use the distributive property to multiply 3 by 3-2x.

$$9-6x\leq x+4$$

Subtract x from both sides.

$$9-6x-x\leq 4$$

Combine -6x and -x to get -7x.

$$9-7x\leq 4$$

Subtract 9 from both sides.

$$-7x\leq 4-9$$

Subtract 9 from 4 to get -5.

$$-7x\leq -5$$

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

$$x\geq \frac{-5}{-7}$$

Fraction \frac{-5}{-7} can be simplified to \frac{5}{7} by removing the negative sign from both the numerator and the denominator.

$$x\geq \frac{5}{7}$$