Solve 8(3x-7)/5>x-4

$$\frac { 8 ( 3 x - 7 ) } { 5 } > x - 4$$

Solve for x

$$x>\frac{36}{19}$$

Solution Steps

Multiply both sides of the equation by 5. Since 5 is positive, the inequality direction remains the same.

$$8\left(3x-7\right)>5x-20$$

Use the distributive property to multiply 8 by 3x-7.

$$24x-56>5x-20$$

Subtract 5x from both sides.

$$24x-56-5x>-20$$

Combine 24x and -5x to get 19x.

$$19x-56>-20$$

Add 56 to both sides.

$$19x>-20+56$$

Add -20 and 56 to get 36.

$$19x>36$$

Divide both sides by 19. Since 19 is positive, the inequality direction remains the same.

$$x>\frac{36}{19}$$