Solve x+6/7-x-6/14=9/14

$$\frac { x + 6 } { 7 } - \frac { x - 6 } { 14 } = \frac { 9 } { 14 }$$

Solve for x

$$x=-9$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 14, the least common multiple of 7,14.

$$2\left(x+6\right)-\left(x-6\right)=9$$

Use the distributive property to multiply 2 by x+6.

$$2x+12-\left(x-6\right)=9$$

To find the opposite of x-6, find the opposite of each term.

$$2x+12-x-\left(-6\right)=9$$

The opposite of -6 is 6.

$$2x+12-x+6=9$$

Combine 2x and -x to get x.

$$x+12+6=9$$

Add 12 and 6 to get 18.

$$x+18=9$$

Subtract 18 from both sides.

$$x=9-18$$

Subtract 18 from 9 to get -9.

$$x=-9$$