Solve 6div(-11/10)=xdiv(-71/3)

$$6 \div (-1 \frac{ 1 }{ 10 } )=x \div (-7 \frac{ 1 }{ 3 } )$$

Solve for x

$$x=40$$

Steps for Solving Linear Equation

Multiply 1 and 10 to get 10.

$$\frac{6}{-\frac{10+1}{10}}=\frac{x}{-\frac{7\times 3+1}{3}}$$

Add 10 and 1 to get 11.

$$\frac{6}{-\frac{11}{10}}=\frac{x}{-\frac{7\times 3+1}{3}}$$

Divide 6 by -\frac{11}{10} by multiplying 6 by the reciprocal of -\frac{11}{10}.

$$6\left(-\frac{10}{11}\right)=\frac{x}{-\frac{7\times 3+1}{3}}$$

Express 6\left(-\frac{10}{11}\right) as a single fraction.

$$\frac{6\left(-10\right)}{11}=\frac{x}{-\frac{7\times 3+1}{3}}$$

Multiply 6 and -10 to get -60.

$$\frac{-60}{11}=\frac{x}{-\frac{7\times 3+1}{3}}$$

Fraction \frac{-60}{11} can be rewritten as -\frac{60}{11} by extracting the negative sign.

$$-\frac{60}{11}=\frac{x}{-\frac{7\times 3+1}{3}}$$

Multiply 7 and 3 to get 21.

$$-\frac{60}{11}=\frac{x}{-\frac{21+1}{3}}$$

Add 21 and 1 to get 22.

$$-\frac{60}{11}=\frac{x}{-\frac{22}{3}}$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{x}{-\frac{22}{3}}=-\frac{60}{11}$$

Multiply both sides by -\frac{22}{3}.

$$x=-\frac{60}{11}\left(-\frac{22}{3}\right)$$

Multiply -\frac{60}{11} times -\frac{22}{3} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-60\left(-22\right)}{11\times 3}$$

Do the multiplications in the fraction \frac{-60\left(-22\right)}{11\times 3}.

$$x=\frac{1320}{33}$$

Divide 1320 by 33 to get 40.

$$x=40$$