Solve x-5x-1/3>1

$$x - \frac { 5 x - 1 } { 3 } > 1$$

Solve for x

$$x<-1$$

Solution Steps

Multiply both sides of the equation by 3. Since 3 is positive, the inequality direction remains the same.

$$3x-\left(5x-1\right)>3$$

To find the opposite of 5x-1, find the opposite of each term.

$$3x-5x-\left(-1\right)>3$$

The opposite of -1 is 1.

$$3x-5x+1>3$$

Combine 3x and -5x to get -2x.

$$-2x+1>3$$

Subtract 1 from both sides.

$$-2x>3-1$$

Subtract 1 from 3 to get 2.

$$-2x>2$$

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

$$x<\frac{2}{-2}$$

Divide 2 by -2 to get -1.

$$x<-1$$