Solve x+3/6-x+3/2=x-21/3

$$\frac{ x+3 }{ 6 } - \frac{ x+3 }{ 2 } = \frac{ x-21 }{ 3 }$$

Solve for x

$$x=9$$

Steps for Solving Linear Equation

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

$$x+3-3\left(x+3\right)=2\left(x-21\right)$$

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

$$x+3-3x-9=2\left(x-21\right)$$

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

$$-2x+3-9=2\left(x-21\right)$$

Subtract 9 from 3 to get -6.

$$-2x-6=2\left(x-21\right)$$

Use the distributive property to multiply 2 by x-21.

$$-2x-6=2x-42$$

Subtract 2x from both sides.

$$-2x-6-2x=-42$$

Combine -2x and -2x to get -4x.

$$-4x-6=-42$$

Add 6 to both sides.

$$-4x=-42+6$$

Add -42 and 6 to get -36.

$$-4x=-36$$

Divide both sides by -4.

$$x=\frac{-36}{-4}$$

Divide -36 by -4 to get 9.

$$x=9$$