Solve 75+1/6x=x

$$75 + 1 / 6 x = x$$

Solve for x

$$x=90$$

Steps for Solving Linear Equation

Subtract x from both sides.

$$75+\frac{1}{6}x-x=0$$

Combine \frac{1}{6}x and -x to get -\frac{5}{6}x.

$$75-\frac{5}{6}x=0$$

Subtract 75 from both sides. Anything subtracted from zero gives its negation.

$$-\frac{5}{6}x=-75$$

Multiply both sides by -\frac{6}{5}, the reciprocal of -\frac{5}{6}.

$$x=-75\left(-\frac{6}{5}\right)$$

Express -75\left(-\frac{6}{5}\right) as a single fraction.

$$x=\frac{-75\left(-6\right)}{5}$$

Multiply -75 and -6 to get 450.

$$x=\frac{450}{5}$$

Divide 450 by 5 to get 90.

$$x=90$$