Solve x/3+x/2+x/4+6=x

$$\frac { x } { 3 } + \frac { x } { 2 } + \frac { x } { 4 } + 6 = x$$

Solve for x

$$x=-72$$

Steps for Solving Linear Equation

Combine \frac{x}{3} and \frac{x}{2} to get \frac{5}{6}x.

$$\frac{5}{6}x+\frac{x}{4}+6=x$$

Combine \frac{5}{6}x and \frac{x}{4} to get \frac{13}{12}x.

$$\frac{13}{12}x+6=x$$

Subtract x from both sides.

$$\frac{13}{12}x+6-x=0$$

Combine \frac{13}{12}x and -x to get \frac{1}{12}x.

$$\frac{1}{12}x+6=0$$

Subtract 6 from both sides. Anything subtracted from zero gives its negation.

$$\frac{1}{12}x=-6$$

Multiply both sides by 12, the reciprocal of \frac{1}{12}.

$$x=-6\times 12$$

Multiply -6 and 12 to get -72.

$$x=-72$$