Solve 83-72/{90-(4 x)-65/5}x(17-2)=23

Evaluate

83 - \frac{72}{90 - 4 x - \frac{65}{5}} \times x (17 - 2) = 23

Find the domain

More Steps

83 - \frac{72}{90 - 4 x - \frac{65}{5}} \times x (17 - 2) = 23, x \neq = \frac{77}{4}

Simplify

More Steps

83 - \frac{1080 x}{77 - 4 x} = 23

Move the constant to the right-hand side and change its sign

- \frac{1080 x}{77 - 4 x} = 23 - 83

Subtract the numbers

- \frac{1080 x}{77 - 4 x} = - 60

Rewrite the expression

\frac{- 1080 x}{77 - 4 x} = - 60

Cross multiply

- 1080 x = (77 - 4 x) (- 60)

Simplify the equation

- 1080 x = - 60 (77 - 4 x)

Rewrite the expression

- 60 \times 18 x = - 60 (77 - 4 x)

Evaluate

18 x = 77 - 4 x

Move the variable to the left side

18 x + 4 x = 77

Add the terms

More Steps

22 x = 77

Divide both sides

\frac{22 x}{22} = \frac{77}{22}

Divide the numbers

x = \frac{77}{22}

Cancel out the common factor 11

x = \frac{7}{2}

Check if the solution is in the defined range

x = \frac{7}{2}, x \neq = \frac{77}{4}

Solution

x = \frac{7}{2}

Alternative Form

x = 3.5

Solve the equation