Solve -2(3x-1)≤5-x

Evaluate

- 2 (3 x - 1) \leq 5 - x

Expand the expression

More Steps

- 6 x + 2 \leq 5 - x

Move the expression to the left side

- 6 x + 2 + x \leq 5

Move the expression to the right side

- 6 x + x \leq 5 - 2

Add and subtract

More Steps

- 5 x \leq 5 - 2

Add and subtract

- 5 x \leq 3

Change the signs on both sides of the inequality and flip the inequality sign

5 x \geq - 3

Divide both sides

\frac{5 x}{5} \geq \frac{- 3}{5}

Divide the numbers

x \geq \frac{- 3}{5}

Solution

x \geq - \frac{3}{5}

Alternative Form

x \in [- \frac{3}{5}, + \infty)

Solve the inequality