Solve 10-1/x-1=50-4/25-4

$$\frac { 10 - 1 } { x - 1 } = \frac { 50 - 4 } { 25 - 4 }$$

Solve for x

$$x = \frac{235}{46} = 5\frac{5}{46} \approx 5.108695652$$

Steps for Solving Linear Equation

Variable x cannot be equal to 1 since division by zero is not defined. Multiply both sides of the equation by x-1.

$$10-1=\left(\frac{1}{21}x-\frac{1}{21}\right)\left(50-4\right)$$

Subtract 1 from 10 to get 9.

$$9=\left(\frac{1}{21}x-\frac{1}{21}\right)\left(50-4\right)$$

Subtract 4 from 50 to get 46.

$$9=\left(\frac{1}{21}x-\frac{1}{21}\right)\times 46$$

Use the distributive property to multiply \frac{1}{21}x-\frac{1}{21} by 46.

$$9=\frac{46}{21}x-\frac{46}{21}$$

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

$$\frac{46}{21}x-\frac{46}{21}=9$$

Add \frac{46}{21} to both sides.

$$\frac{46}{21}x=9+\frac{46}{21}$$

Add 9 and \frac{46}{21} to get \frac{235}{21}.

$$\frac{46}{21}x=\frac{235}{21}$$

Multiply both sides by \frac{21}{46}, the reciprocal of \frac{46}{21}.

$$x=\frac{235}{21}\times \frac{21}{46}$$

Multiply \frac{235}{21} and \frac{21}{46} to get \frac{235}{46}.

$$x=\frac{235}{46}$$