Solve x-1/3-x-6/2=1/6

$$\frac { x - 1 } { 3 } - \frac { x - 6 } { 2 } = \frac { 1 } { 6 }$$

Solve for x

$$x=15$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 3,2,6.

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

Use the distributive property to multiply 2 by x-1.

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

Use the distributive property to multiply -3 by x-6.

$$2x-2-3x+18=1$$

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

$$-x-2+18=1$$

Add -2 and 18 to get 16.

$$-x+16=1$$

Subtract 16 from both sides.

$$-x=1-16$$

Subtract 16 from 1 to get -15.

$$-x=-15$$

Multiply both sides by -1.

$$x=15$$