Solve 5/frac{29{7}}=3/x-1

$$\frac { 5 } { \frac { 29 } { 7 } } = \frac { 3 } { x - 1 }$$

Solve for x

$$x = \frac{122}{35} = 3\frac{17}{35} \approx 3.485714286$$

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.

$$\left(x-1\right)\times \frac{5}{\frac{29}{7}}=3$$

Divide 5 by \frac{29}{7} by multiplying 5 by the reciprocal of \frac{29}{7}.

$$\left(x-1\right)\times 5\times \frac{7}{29}=3$$

Multiply 5 and \frac{7}{29} to get \frac{35}{29}.

$$\left(x-1\right)\times \frac{35}{29}=3$$

Use the distributive property to multiply x-1 by \frac{35}{29}.

$$\frac{35}{29}x-\frac{35}{29}=3$$

Add \frac{35}{29} to both sides.

$$\frac{35}{29}x=3+\frac{35}{29}$$

Add 3 and \frac{35}{29} to get \frac{122}{29}.

$$\frac{35}{29}x=\frac{122}{29}$$

Multiply both sides by \frac{29}{35}, the reciprocal of \frac{35}{29}.

$$x=\frac{122}{29}\times \frac{29}{35}$$

Multiply \frac{122}{29} and \frac{29}{35} to get \frac{122}{35}.

$$x=\frac{122}{35}$$