Solve x-6/-6=9-1/2

$$\frac { x - 6 } { - 6 } = \frac { 9 - 1 } { 2 }$$

Solve for x

$$x=-18$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of -6,2.

$$-\left(x-6\right)=3\left(9-1\right)$$

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

$$-x-\left(-6\right)=3\left(9-1\right)$$

The opposite of -6 is 6.

$$-x+6=3\left(9-1\right)$$

Subtract 1 from 9 to get 8.

$$-x+6=3\times 8$$

Multiply 3 and 8 to get 24.

$$-x+6=24$$

Subtract 6 from both sides.

$$-x=24-6$$

Subtract 6 from 24 to get 18.

$$-x=18$$

Multiply both sides by -1.

$$x=-18$$