Solve 0.133=x/M

$$0.133 = \frac { x } { M }$$

Solve for M

$$M=\frac{1000x}{133}$$

$$x\neq 0$$

Steps for Solving Linear Equation

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

$$0.133M=x$$

Divide both sides of the equation by 0.133, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{0.133M}{0.133}=\frac{x}{0.133}$$

Dividing by 0.133 undoes the multiplication by 0.133.

$$M=\frac{x}{0.133}$$

Divide x by 0.133 by multiplying x by the reciprocal of 0.133.

$$M=\frac{1000x}{133}$$

Variable M cannot be equal to 0.

$$M=\frac{1000x}{133}\text{, }M\neq 0$$

Solve for x

$$x=\frac{133M}{1000}$$

$$M\neq 0$$

Solution Steps

Multiply both sides of the equation by M.

$$0.133M=x$$

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

$$x=0.133M$$