Solve x/M-21=5

$$\frac { x } { M } - 21 = 5$$

Solve for M

$$M=\frac{x}{26}$$

$$x\neq 0$$

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.

$$x+M\left(-21\right)=5M$$

Subtract 5M from both sides.

$$x+M\left(-21\right)-5M=0$$

Combine M\left(-21\right) and -5M to get -26M.

$$x-26M=0$$

Subtract x from both sides. Anything subtracted from zero gives its negation.

$$-26M=-x$$

Divide both sides by -26.

$$\frac{-26M}{-26}=-\frac{x}{-26}$$

Dividing by -26 undoes the multiplication by -26.

$$M=-\frac{x}{-26}$$

Divide -x by -26.

$$M=\frac{x}{26}$$

Variable M cannot be equal to 0.

$$M=\frac{x}{26}\text{, }M\neq 0$$

Solve for x

$$x=26M$$

$$M\neq 0$$

Solution Steps

Multiply both sides of the equation by M.

$$x+M\left(-21\right)=5M$$

Subtract M\left(-21\right) from both sides.

$$x=5M-M\left(-21\right)$$

Combine 5M and -M\left(-21\right) to get 26M.

$$x=26M$$