Solve (100-x)div3=x

$$(100-x) \div 3=x$$

Solve for x

$$x=25$$

Steps for Solving Linear Equation

Divide each term of 100-x by 3 to get \frac{100}{3}-\frac{1}{3}x.

$$\frac{100}{3}-\frac{1}{3}x=x$$

Subtract x from both sides.

$$\frac{100}{3}-\frac{1}{3}x-x=0$$

Combine -\frac{1}{3}x and -x to get -\frac{4}{3}x.

$$\frac{100}{3}-\frac{4}{3}x=0$$

Subtract \frac{100}{3} from both sides. Anything subtracted from zero gives its negation.

$$-\frac{4}{3}x=-\frac{100}{3}$$

Multiply both sides by -\frac{3}{4}, the reciprocal of -\frac{4}{3}.

$$x=-\frac{100}{3}\left(-\frac{3}{4}\right)$$

Multiply -\frac{100}{3} times -\frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-100\left(-3\right)}{3\times 4}$$

Do the multiplications in the fraction \frac{-100\left(-3\right)}{3\times 4}.

$$x=\frac{300}{12}$$

Divide 300 by 12 to get 25.

$$x=25$$