Solve 5x+13leq2(4x-1)

$$5 x + 13 \leq 2 ( 4 x - 1 )$$

Solve for x

$$x\geq 5$$

Solution Steps

Use the distributive property to multiply 2 by 4x-1.

$$5x+13\leq 8x-2$$

Subtract 8x from both sides.

$$5x+13-8x\leq -2$$

Combine 5x and -8x to get -3x.

$$-3x+13\leq -2$$

Subtract 13 from both sides.

$$-3x\leq -2-13$$

Subtract 13 from -2 to get -15.

$$-3x\leq -15$$

Divide both sides by -3. Since -3 is negative, the inequality direction is changed.

$$x\geq \frac{-15}{-3}$$

Divide -15 by -3 to get 5.

$$x\geq 5$$