Solve 3(x+1)-5<-4(2x-3)

$$3 ( x + 1 ) - 5 < - 4 ( 2 x - 3 )$$

Solve for x

$$x<\frac{14}{11}$$

Solution Steps

Use the distributive property to multiply 3 by x+1.

$$3x+3-5<-4\left(2x-3\right)$$

Subtract 5 from 3 to get -2.

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

Use the distributive property to multiply -4 by 2x-3.

$$3x-2<-8x+12$$

Add 8x to both sides.

$$3x-2+8x<12$$

Combine 3x and 8x to get 11x.

$$11x-2<12$$

Add 2 to both sides.

$$11x<12+2$$

Add 12 and 2 to get 14.

$$11x<14$$

Divide both sides by 11. Since 11 is positive, the inequality direction remains the same.

$$x<\frac{14}{11}$$