Solve x+3(x+5)-14leq-23

$$x + 3 ( x + 5 ) - 14 \leq - 23$$

Solve for x

$$x\leq -6$$

Solution Steps

Use the distributive property to multiply 3 by x+5.

$$x+3x+15-14\leq -23$$

Combine x and 3x to get 4x.

$$4x+15-14\leq -23$$

Subtract 14 from 15 to get 1.

$$4x+1\leq -23$$

Subtract 1 from both sides.

$$4x\leq -23-1$$

Subtract 1 from -23 to get -24.

$$4x\leq -24$$

Divide both sides by 4. Since 4 is positive, the inequality direction remains the same.

$$x\leq \frac{-24}{4}$$

Divide -24 by 4 to get -6.

$$x\leq -6$$