Solve x-12/18+x-3/6+x+6/9+x/3=0

$$\frac { x - 12 } { 18 } + \frac { x - 3 } { 6 } + \frac { x + 6 } { 9 } + \frac { x } { 3 } = 0$$

Solve for x

$$x=\frac{3}{4}=0.75$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 18, the least common multiple of 18,6,9,3.

$$x-12+3\left(x-3\right)+2\left(x+6\right)+6x=0$$

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

$$x-12+3x-9+2\left(x+6\right)+6x=0$$

Combine x and 3x to get 4x.

$$4x-12-9+2\left(x+6\right)+6x=0$$

Subtract 9 from -12 to get -21.

$$4x-21+2\left(x+6\right)+6x=0$$

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

$$4x-21+2x+12+6x=0$$

Combine 4x and 2x to get 6x.

$$6x-21+12+6x=0$$

Add -21 and 12 to get -9.

$$6x-9+6x=0$$

Combine 6x and 6x to get 12x.

$$12x-9=0$$

Add 9 to both sides. Anything plus zero gives itself.

$$12x=9$$

Divide both sides by 12.

$$x=\frac{9}{12}$$

Reduce the fraction \frac{9}{12} to lowest terms by extracting and canceling out 3.

$$x=\frac{3}{4}$$