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

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

Solve for x

$$x<-3$$

Solution Steps

Use the distributive property to multiply 2 by 5x+3.

$$10x+6<x-3\left(1-2x\right)$$

Use the distributive property to multiply -3 by 1-2x.

$$10x+6<x-3+6x$$

Combine x and 6x to get 7x.

$$10x+6<7x-3$$

Subtract 7x from both sides.

$$10x+6-7x<-3$$

Combine 10x and -7x to get 3x.

$$3x+6<-3$$

Subtract 6 from both sides.

$$3x<-3-6$$

Subtract 6 from -3 to get -9.

$$3x<-9$$

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

$$x<\frac{-9}{3}$$

Divide -9 by 3 to get -3.

$$x<-3$$