Solve xdiv3+8=x

$$x \div 3 + 8 = x$$

Solve for x

$$x=12$$

Steps for Solving Linear Equation

Subtract x from both sides.

$$\frac{x}{3}+8-x=0$$

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

$$-\frac{2}{3}x+8=0$$

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

$$-\frac{2}{3}x=-8$$

Multiply both sides by -\frac{3}{2}, the reciprocal of -\frac{2}{3}.

$$x=-8\left(-\frac{3}{2}\right)$$

Express -8\left(-\frac{3}{2}\right) as a single fraction.

$$x=\frac{-8\left(-3\right)}{2}$$

Multiply -8 and -3 to get 24.

$$x=\frac{24}{2}$$

Divide 24 by 2 to get 12.

$$x=12$$