Solve 5(x+2)leqx/5-4

$$5 ( x + 2 ) \leq \frac { x } { 5 } - 4$$

Solve for x

$$x\leq -\frac{35}{12}$$

Solution Steps

Multiply both sides of the equation by 5. Since 5 is positive, the inequality direction remains the same.

$$25\left(x+2\right)\leq x-20$$

Use the distributive property to multiply 25 by x+2.

$$25x+50\leq x-20$$

Subtract x from both sides.

$$25x+50-x\leq -20$$

Combine 25x and -x to get 24x.

$$24x+50\leq -20$$

Subtract 50 from both sides.

$$24x\leq -20-50$$

Subtract 50 from -20 to get -70.

$$24x\leq -70$$

Divide both sides by 24. Since 24 is positive, the inequality direction remains the same.

$$x\leq \frac{-70}{24}$$

Reduce the fraction \frac{-70}{24} to lowest terms by extracting and canceling out 2.

$$x\leq -\frac{35}{12}$$