Solve 8(x+3)>12(1-x)

$$8 ( x + 3 ) > 12 ( 1 - x )$$

Solve for x

$$x>-\frac{3}{5}$$

Solution Steps

Use the distributive property to multiply 8 by x+3.

$$8x+24>12\left(1-x\right)$$

Use the distributive property to multiply 12 by 1-x.

$$8x+24>12-12x$$

Add 12x to both sides.

$$8x+24+12x>12$$

Combine 8x and 12x to get 20x.

$$20x+24>12$$

Subtract 24 from both sides.

$$20x>12-24$$

Subtract 24 from 12 to get -12.

$$20x>-12$$

Divide both sides by 20. Since 20 is positive, the inequality direction remains the same.

$$x>\frac{-12}{20}$$

Reduce the fraction \frac{-12}{20} to lowest terms by extracting and canceling out 4.

$$x>-\frac{3}{5}$$