Solve (6/11 x-50):(5/11 x-50)=7:5

Evaluate

(\frac{6}{11} x - 50) \div (\frac{5}{11} x - 50) = 7 \div 5

Find the domain

More Steps

(\frac{6}{11} x - 50) \div (\frac{5}{11} x - 50) = 7 \div 5, x \neq = 110

Divide the terms

More Steps

\frac{6 x - 550}{5 x - 550} = 7 \div 5

Divide the numbers

\frac{6 x - 550}{5 x - 550} = 1.4

Convert the expressions

\frac{6 x - 550}{5 x - 550} = \frac{7}{5}

Cross multiply

(6 x - 550) \times 5 = (5 x - 550) \times 7

Simplify the equation

5 (6 x - 550) = (5 x - 550) \times 7

Simplify the equation

5 (6 x - 550) = 7 (5 x - 550)

Rewrite the expression

5 (6 x - 550) = 5 \times 7 (x - 110)

Evaluate

6 x - 550 = 7 (x - 110)

Expand the expression

More Steps

6 x - 550 = 7 x - 770

Move the expression to the left side

6 x - 550 - 7 x = - 770

Move the expression to the right side

6 x - 7 x = - 770 + 550

Add and subtract

More Steps

- x = - 770 + 550

Add and subtract

- x = - 220

Change the signs on both sides of the equation

x = 220

Check if the solution is in the defined range

x = 220, x \neq = 110

Solution

x = 220

Solve the equation