Solve x/6+7/3=x-3/3

$$\frac { x } { 6 } + \frac { 7 } { 3 } = \frac { x - 3 } { 3 }$$

Solve for x

$$x=20$$

Steps for Solving Linear Equation

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

$$x+14=2\left(x-3\right)$$

Use the distributive property to multiply 2 by x-3.

$$x+14=2x-6$$

Subtract 2x from both sides.

$$x+14-2x=-6$$

Combine x and -2x to get -x.

$$-x+14=-6$$

Subtract 14 from both sides.

$$-x=-6-14$$

Subtract 14 from -6 to get -20.

$$-x=-20$$

Multiply both sides by -1.

$$x=20$$