Solve -6left(4-xright)leq-4left(x+1right)

$$-6 \left( 4-x \right) \leq -4 \left( x+1 \right)$$

Solve for x

$$x\leq 2$$

Solution Steps

Use the distributive property to multiply -6 by 4-x.

$$-24+6x\leq -4\left(x+1\right)$$

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

$$-24+6x\leq -4x-4$$

Add 4x to both sides.

$$-24+6x+4x\leq -4$$

Combine 6x and 4x to get 10x.

$$-24+10x\leq -4$$

Add 24 to both sides.

$$10x\leq -4+24$$

Add -4 and 24 to get 20.

$$10x\leq 20$$

Divide both sides by 10. Since 10 is positive, the inequality direction remains the same.

$$x\leq \frac{20}{10}$$

Divide 20 by 10 to get 2.

$$x\leq 2$$