Solve 4(x+6)leq-12+x

$$4 ( x + 6 ) \leq - 12 + x$$

Solve for x

$$x\leq -12$$

Solution Steps

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

$$4x+24\leq -12+x$$

Subtract x from both sides.

$$4x+24-x\leq -12$$

Combine 4x and -x to get 3x.

$$3x+24\leq -12$$

Subtract 24 from both sides.

$$3x\leq -12-24$$

Subtract 24 from -12 to get -36.

$$3x\leq -36$$

Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.

$$x\leq \frac{-36}{3}$$

Divide -36 by 3 to get -12.

$$x\leq -12$$