Solve -4(1-x)+x>-(5-2x)+5

$$- 4 ( 1 - x ) + x > - ( 5 - 2 x ) + 5$$

Solve for x

$$x>\frac{4}{3}$$

Solution Steps

Use the distributive property to multiply -4 by 1-x.

$$-4+4x+x>-\left(5-2x\right)+5$$

Combine 4x and x to get 5x.

$$-4+5x>-\left(5-2x\right)+5$$

To find the opposite of 5-2x, find the opposite of each term.

$$-4+5x>-5-\left(-2x\right)+5$$

The opposite of -2x is 2x.

$$-4+5x>-5+2x+5$$

Add -5 and 5 to get 0.

$$-4+5x>2x$$

Subtract 2x from both sides.

$$-4+5x-2x>0$$

Combine 5x and -2x to get 3x.

$$-4+3x>0$$

Add 4 to both sides. Anything plus zero gives itself.

$$3x>4$$

Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.

$$x>\frac{4}{3}$$