Solve -2/7*(-0,9)/frac{3{14}}=x/5

$$\frac { - \frac { 2 } { 7 } \cdot ( - 0,9 ) } { \frac { 3 } { 14 } } = \frac { x } { 5 }$$

Solve for x

$$x=6$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 5.

$$5\times \frac{-\frac{2}{7}\left(-0,9\right)}{\frac{3}{14}}=x$$

Convert decimal number -0,9 to fraction -\frac{9}{10}.

$$5\times \frac{-\frac{2}{7}\left(-\frac{9}{10}\right)}{\frac{3}{14}}=x$$

Multiply -\frac{2}{7} times -\frac{9}{10} by multiplying numerator times numerator and denominator times denominator.

$$5\times \frac{\frac{-2\left(-9\right)}{7\times 10}}{\frac{3}{14}}=x$$

Do the multiplications in the fraction \frac{-2\left(-9\right)}{7\times 10}.

$$5\times \frac{\frac{18}{70}}{\frac{3}{14}}=x$$

Reduce the fraction \frac{18}{70} to lowest terms by extracting and canceling out 2.

$$5\times \frac{\frac{9}{35}}{\frac{3}{14}}=x$$

Divide \frac{9}{35} by \frac{3}{14} by multiplying \frac{9}{35} by the reciprocal of \frac{3}{14}.

$$5\times \frac{9}{35}\times \frac{14}{3}=x$$

Multiply \frac{9}{35} times \frac{14}{3} by multiplying numerator times numerator and denominator times denominator.

$$5\times \frac{9\times 14}{35\times 3}=x$$

Do the multiplications in the fraction \frac{9\times 14}{35\times 3}.

$$5\times \frac{126}{105}=x$$

Reduce the fraction \frac{126}{105} to lowest terms by extracting and canceling out 21.

$$5\times \frac{6}{5}=x$$

Cancel out 5 and 5.

$$6=x$$

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

$$x=6$$