Solve 2(2x-1)-2x<13-3(3-x)

$$2 ( 2 x - 1 ) - 2 x < 13 - 3 ( 3 - x )$$

Solve for x

$$x>-6$$

Solution Steps

Use the distributive property to multiply 2 by 2x-1.

$$4x-2-2x<13-3\left(3-x\right)$$

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

$$2x-2<13-3\left(3-x\right)$$

Use the distributive property to multiply -3 by 3-x.

$$2x-2<13-9+3x$$

Subtract 9 from 13 to get 4.

$$2x-2<4+3x$$

Subtract 3x from both sides.

$$2x-2-3x<4$$

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

$$-x-2<4$$

Add 2 to both sides.

$$-x<4+2$$

Add 4 and 2 to get 6.

$$-x<6$$

Divide both sides by -1. Since -1 is negative, the inequality direction is changed.

$$x>-6$$