Solve 2*27/x=6/0.1

$$\frac { 2 \times 27 } { x } = \frac { 6 } { 0.1 }$$

Solve for x

$$x=0.9$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$2\times 27=x\times \frac{6}{0.1}$$

Multiply 2 and 27 to get 54.

$$54=x\times \frac{6}{0.1}$$

Expand \frac{6}{0.1} by multiplying both numerator and the denominator by 10. Anything divided by one gives itself.

$$54=x\times 60$$

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

$$x\times 60=54$$

Divide both sides by 60.

$$x=\frac{54}{60}$$

Reduce the fraction \frac{54}{60} to lowest terms by extracting and canceling out 6.

$$x=\frac{9}{10}$$