Solve 5(2-3x)>3left(2-3xright)

$$5(2-3x) > 3 \left( 2-3x \right)$$

Solve for x

$$x<\frac{2}{3}$$

Solution Steps

Use the distributive property to multiply 5 by 2-3x.

$$10-15x>3\left(2-3x\right)$$

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

$$10-15x>6-9x$$

Add 9x to both sides.

$$10-15x+9x>6$$

Combine -15x and 9x to get -6x.

$$10-6x>6$$

Subtract 10 from both sides.

$$-6x>6-10$$

Subtract 10 from 6 to get -4.

$$-6x>-4$$

Divide both sides by -6. Since -6 is negative, the inequality direction is changed.

$$x<\frac{-4}{-6}$$

Reduce the fraction \frac{-4}{-6} to lowest terms by extracting and canceling out -2.

$$x<\frac{2}{3}$$