Solve 3x+4>-x+2

$$3 x + 4 > - x + 2$$

Solve for x

$$x>-\frac{1}{2}$$

Solution Steps

Add x to both sides.

$$3x+4+x>2$$

Combine 3x and x to get 4x.

$$4x+4>2$$

Subtract 4 from both sides.

$$4x>2-4$$

Subtract 4 from 2 to get -2.

$$4x>-2$$

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

$$x>\frac{-2}{4}$$

Reduce the fraction \frac{-2}{4} to lowest terms by extracting and canceling out 2.

$$x>-\frac{1}{2}$$