Solve x/4 < (5x - 2)/3 - (7x - 3)/5

Evaluate

\frac{x}{4} < \frac{5 x - 2}{3} - \frac{7 x - 3}{5}

Multiply both sides of the inequality by 60

\frac{x}{4} \times 60 < (\frac{5 x - 2}{3} - \frac{7 x - 3}{5}) \times 60

Multiply the terms

More Steps

15 x < (\frac{5 x - 2}{3} - \frac{7 x - 3}{5}) \times 60

Multiply the terms

More Steps

15 x < 100 x - 40 - 84 x + 36

Calculate the sum or difference

More Steps

15 x < 16 x - 4

Move the variable to the left side

15 x - 16 x < - 4

Subtract the terms

More Steps

- x < - 4

Solution

x > 4

Alternative Form

x \in (4, + \infty)

Solve the inequality