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

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

Solve for x

$$x>-\frac{5}{3}$$

Solution Steps

Combine 2x and -2x to get 0.

$$-1<13-3\left(3-x\right)$$

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

$$-1<13-9+3x$$

Subtract 9 from 13 to get 4.

$$-1<4+3x$$

Swap sides so that all variable terms are on the left hand side. This changes the sign direction.

$$4+3x>-1$$

Subtract 4 from both sides.

$$3x>-1-4$$

Subtract 4 from -1 to get -5.

$$3x>-5$$

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

$$x>-\frac{5}{3}$$