Solve 70%x+6^2/7=x

$$70 \% x+ \frac{ { 6 }^{ 2 } }{ 7 } =x$$

Solve for x

$$x = \frac{120}{7} = 17\frac{1}{7} \approx 17.142857143$$

Steps for Solving Linear Equation

Reduce the fraction \frac{70}{100} to lowest terms by extracting and canceling out 10.

$$\frac{7}{10}x+\frac{6^{2}}{7}=x$$

Calculate 6 to the power of 2 and get 36.

$$\frac{7}{10}x+\frac{36}{7}=x$$

Subtract x from both sides.

$$\frac{7}{10}x+\frac{36}{7}-x=0$$

Combine \frac{7}{10}x and -x to get -\frac{3}{10}x.

$$-\frac{3}{10}x+\frac{36}{7}=0$$

Subtract \frac{36}{7} from both sides. Anything subtracted from zero gives its negation.

$$-\frac{3}{10}x=-\frac{36}{7}$$

Multiply both sides by -\frac{10}{3}, the reciprocal of -\frac{3}{10}.

$$x=-\frac{36}{7}\left(-\frac{10}{3}\right)$$

Multiply -\frac{36}{7} times -\frac{10}{3} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-36\left(-10\right)}{7\times 3}$$

Do the multiplications in the fraction \frac{-36\left(-10\right)}{7\times 3}.

$$x=\frac{360}{21}$$

Reduce the fraction \frac{360}{21} to lowest terms by extracting and canceling out 3.

$$x=\frac{120}{7}$$