Solve 4(5x+4)-72>-3(9x-5)+23

$$4 ( 5 x + 4 ) - 72 > - 3 ( 9 x - 5 ) + 23$$

Solve for x

$$x>2$$

Solution Steps

Use the distributive property to multiply 4 by 5x+4.

$$20x+16-72>-3\left(9x-5\right)+23$$

Subtract 72 from 16 to get -56.

$$20x-56>-3\left(9x-5\right)+23$$

Use the distributive property to multiply -3 by 9x-5.

$$20x-56>-27x+15+23$$

Add 15 and 23 to get 38.

$$20x-56>-27x+38$$

Add 27x to both sides.

$$20x-56+27x>38$$

Combine 20x and 27x to get 47x.

$$47x-56>38$$

Add 56 to both sides.

$$47x>38+56$$

Add 38 and 56 to get 94.

$$47x>94$$

Divide both sides by 47. Since 47 is positive, the inequality direction remains the same.

$$x>\frac{94}{47}$$

Divide 94 by 47 to get 2.

$$x>2$$