Solve 4/5x-23>1

$$\frac{ 4 }{ 5 } x-23 > 1$$

Solve for x

$$x>30$$

Solution Steps

Add 23 to both sides.

$$\frac{4}{5}x>1+23$$

Add 1 and 23 to get 24.

$$\frac{4}{5}x>24$$

Multiply both sides by \frac{5}{4}, the reciprocal of \frac{4}{5}. Since \frac{4}{5} is positive, the inequality direction remains the same.

$$x>24\times \frac{5}{4}$$

Express 24\times \frac{5}{4} as a single fraction.

$$x>\frac{24\times 5}{4}$$

Multiply 24 and 5 to get 120.

$$x>\frac{120}{4}$$

Divide 120 by 4 to get 30.

$$x>30$$