Solve (p-1)/(7-p)=5

Evaluate

\frac{p - 1}{7 - p} = 5

Find the domain

More Steps

\frac{p - 1}{7 - p} = 5, p \neq = 7

Cross multiply

p - 1 = (7 - p) \times 5

Simplify the equation

p - 1 = 5 (7 - p)

Expand the expression

More Steps

p - 1 = 35 - 5 p

Move the expression to the left side

p - 1 + 5 p = 35

Move the expression to the right side

p + 5 p = 35 + 1

Add and subtract

More Steps

6 p = 35 + 1

Add and subtract

6 p = 36

Divide both sides

\frac{6 p}{6} = \frac{36}{6}

Divide the numbers

p = \frac{36}{6}

Divide the numbers

More Steps

p = 6

Check if the solution is in the defined range

p = 6, p \neq = 7

Solution

p = 6

Solve the equation