Solve -4(1-x)+x>-(7-2x)+7

$$- 4 ( 1 - x ) + x > - ( 7 - 2 x ) + 7$$

Solve for x

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

Solution Steps

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

$$-4+4x+x>-\left(7-2x\right)+7$$

Combine 4x and x to get 5x.

$$-4+5x>-\left(7-2x\right)+7$$

To find the opposite of 7-2x, find the opposite of each term.

$$-4+5x>-7-\left(-2x\right)+7$$

The opposite of -2x is 2x.

$$-4+5x>-7+2x+7$$

Add -7 and 7 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.

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