Solve 12-2xgeq3(2x-3)

$$12 - 2 x \geq 3 ( 2 x - 3 )$$

Solve for x

$$x\leq \frac{21}{8}$$

Solution Steps

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

$$12-2x\geq 6x-9$$

Subtract 6x from both sides.

$$12-2x-6x\geq -9$$

Combine -2x and -6x to get -8x.

$$12-8x\geq -9$$

Subtract 12 from both sides.

$$-8x\geq -9-12$$

Subtract 12 from -9 to get -21.

$$-8x\geq -21$$

Divide both sides by -8. Since -8 is negative, the inequality direction is changed.

$$x\leq \frac{-21}{-8}$$

Fraction \frac{-21}{-8} can be simplified to \frac{21}{8} by removing the negative sign from both the numerator and the denominator.

$$x\leq \frac{21}{8}$$