Solve 7/9x+140/9=x

$$\frac{ 7 }{ 9 } x+ \frac{ 140 }{ 9 } =x$$

Solve for x

$$x=70$$

Steps for Solving Linear Equation

Subtract x from both sides.

$$\frac{7}{9}x+\frac{140}{9}-x=0$$

Combine \frac{7}{9}x and -x to get -\frac{2}{9}x.

$$-\frac{2}{9}x+\frac{140}{9}=0$$

Subtract \frac{140}{9} from both sides. Anything subtracted from zero gives its negation.

$$-\frac{2}{9}x=-\frac{140}{9}$$

Multiply both sides by -\frac{9}{2}, the reciprocal of -\frac{2}{9}.

$$x=-\frac{140}{9}\left(-\frac{9}{2}\right)$$

Multiply -\frac{140}{9} times -\frac{9}{2} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-140\left(-9\right)}{9\times 2}$$

Do the multiplications in the fraction \frac{-140\left(-9\right)}{9\times 2}.

$$x=\frac{1260}{18}$$

Divide 1260 by 18 to get 70.

$$x=70$$