Solve x+2+x-3>2x+4/2

$$x + 2 + x - 3 > \frac { 2 x + 4 } { 2 }$$

Solve for x

$$x>3$$

Solution Steps

Multiply both sides of the equation by 2. Since 2 is positive, the inequality direction remains the same.

$$2x+4+2x-6>2x+4$$

Combine 2x and 2x to get 4x.

$$4x+4-6>2x+4$$

Subtract 6 from 4 to get -2.

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

Subtract 2x from both sides.

$$4x-2-2x>4$$

Combine 4x and -2x to get 2x.

$$2x-2>4$$

Add 2 to both sides.

$$2x>4+2$$

Add 4 and 2 to get 6.

$$2x>6$$

Divide both sides by 2. Since 2 is positive, the inequality direction remains the same.

$$x>\frac{6}{2}$$

Divide 6 by 2 to get 3.

$$x>3$$