Solve 8x-26leq-3(2-4x)

$$8 x - 26 \leq - 3 ( 2 - 4 x )$$

Solve for x

$$x\geq -5$$

Solution Steps

Use the distributive property to multiply -3 by 2-4x.

$$8x-26\leq -6+12x$$

Subtract 12x from both sides.

$$8x-26-12x\leq -6$$

Combine 8x and -12x to get -4x.

$$-4x-26\leq -6$$

Add 26 to both sides.

$$-4x\leq -6+26$$

Add -6 and 26 to get 20.

$$-4x\leq 20$$

Divide both sides by -4. Since -4 is negative, the inequality direction is changed.

$$x\geq \frac{20}{-4}$$

Divide 20 by -4 to get -5.

$$x\geq -5$$