Solve 4(x+2)-6(x-1)<1

$$4 ( x + 2 ) - 6 ( x - 1 ) < 1$$

Solve for x

$$x>\frac{13}{2}$$

Solution Steps

Use the distributive property to multiply 4 by x+2.

$$4x+8-6\left(x-1\right)<1$$

Use the distributive property to multiply -6 by x-1.

$$4x+8-6x+6<1$$

Combine 4x and -6x to get -2x.

$$-2x+8+6<1$$

Add 8 and 6 to get 14.

$$-2x+14<1$$

Subtract 14 from both sides.

$$-2x<1-14$$

Subtract 14 from 1 to get -13.

$$-2x<-13$$

Divide both sides by -2. Since -2 is negative, the inequality direction is changed.

$$x>\frac{-13}{-2}$$

Fraction \frac{-13}{-2} can be simplified to \frac{13}{2} by removing the negative sign from both the numerator and the denominator.

$$x>\frac{13}{2}$$