Solve x/3>1-x-3/6

$$\frac { x } { 3 } > 1 - \frac { x - 3 } { 6 }$$

Solve for x

$$x>3$$

Solution Steps

Multiply both sides of the equation by 6, the least common multiple of 3,6. Since 6 is positive, the inequality direction remains the same.

$$2x>6-\left(x-3\right)$$

To find the opposite of x-3, find the opposite of each term.

$$2x>6-x-\left(-3\right)$$

The opposite of -3 is 3.

$$2x>6-x+3$$

Add 6 and 3 to get 9.

$$2x>9-x$$

Add x to both sides.

$$2x+x>9$$

Combine 2x and x to get 3x.

$$3x>9$$

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.

$$x>3$$