Solve x+2/7>x/2-5

$$x+ \frac{ 2 }{ 7 } > \frac{ x }{ 2 } -5$$

Solve for x

$$x>-\frac{74}{7}$$

Solution Steps

Multiply both sides of the equation by 14, the least common multiple of 7,2. Since 14 is positive, the inequality direction remains the same.

$$14x+4>7x-70$$

Subtract 7x from both sides.

$$14x+4-7x>-70$$

Combine 14x and -7x to get 7x.

$$7x+4>-70$$

Subtract 4 from both sides.

$$7x>-70-4$$

Subtract 4 from -70 to get -74.

$$7x>-74$$

Divide both sides by 7. Since 7 is positive, the inequality direction remains the same.

$$x>-\frac{74}{7}$$