Solve 8-5/12x=x

$$8 - \frac { 5 } { 12 } x = x$$

Solve for x

$$x = \frac{96}{17} = 5\frac{11}{17} \approx 5.647058824$$

Steps for Solving Linear Equation

Subtract x from both sides.

$$8-\frac{5}{12}x-x=0$$

Combine -\frac{5}{12}x and -x to get -\frac{17}{12}x.

$$8-\frac{17}{12}x=0$$

Subtract 8 from both sides. Anything subtracted from zero gives its negation.

$$-\frac{17}{12}x=-8$$

Multiply both sides by -\frac{12}{17}, the reciprocal of -\frac{17}{12}.

$$x=-8\left(-\frac{12}{17}\right)$$

Express -8\left(-\frac{12}{17}\right) as a single fraction.

$$x=\frac{-8\left(-12\right)}{17}$$

Multiply -8 and -12 to get 96.

$$x=\frac{96}{17}$$