Solve x-3/6-1=6x+1/3

$$\frac { x - 3 } { 6 } - 1 = \frac { 6 x + 1 } { 3 }$$

Solve for x

$$x=-1$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 6,3.

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

Subtract 6 from -3 to get -9.

$$x-9=2\left(6x+1\right)$$

Use the distributive property to multiply 2 by 6x+1.

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

Subtract 12x from both sides.

$$x-9-12x=2$$

Combine x and -12x to get -11x.

$$-11x-9=2$$

Add 9 to both sides.

$$-11x=2+9$$

Add 2 and 9 to get 11.

$$-11x=11$$

Divide both sides by -11.

$$x=\frac{11}{-11}$$

Divide 11 by -11 to get -1.

$$x=-1$$