Solve (2x-5)/12 > (-x)/4 - 5/3

Evaluate

\frac{2 x - 5}{12} > \frac{- x}{4} - \frac{5}{3}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

\frac{2 x - 5}{12} > - \frac{x}{4} - \frac{5}{3}

Multiply both sides of the inequality by 12

\frac{2 x - 5}{12} \times 12 > (- \frac{x}{4} - \frac{5}{3}) \times 12

Multiply the terms

2 x - 5 > (- \frac{x}{4} - \frac{5}{3}) \times 12

Multiply the terms

More Steps

2 x - 5 > - 3 x - 20

Move the expression to the left side

2 x - 5 + 3 x > - 20

Move the expression to the right side

2 x + 3 x > - 20 + 5

Add and subtract

More Steps

5 x > - 20 + 5

Add and subtract

5 x > - 15

Divide both sides

\frac{5 x}{5} > \frac{- 15}{5}

Divide the numbers

x > \frac{- 15}{5}

Solution

More Steps

x > - 3

Alternative Form

x \in (- 3, + \infty)

Solve the inequality