What is the answer to (5(x-4)-6(x-11))/(3x-5)=8 ?

The answer to (5(x-4)-6(x-11))/(3x-5)=8 is x= 86/25

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(5(x-4)-6(x-11))/(3x-5)=8

\frac{5 ( x - 4 ) - 6 ( x - 11 )}{3 x - 5} = 8

x = \frac{86}{25}

Decimal Notation

x = 3.44

Solution steps

\frac{5 ( x - 4 ) - 6 ( x - 11 )}{3 x - 5} = 8

Simplify

\frac{5 ( x - 4 ) - 6 ( x - 11 )}{3 x - 5} : \frac{- x + 46}{3 x - 5}

\frac{- x + 46}{3 x - 5} = 8

Multiply both sides by

3 x - 5

- x + 46 = 8 (3 x - 5)

Expand

8 (3 x - 5) : 24 x - 40

- x + 46 = 24 x - 40

Move

46

to the right side

- x = 24 x - 86

Move

24 x

to the left side

- 25 x = - 86

Divide both sides by

- 25

x = \frac{86}{25}

Verify Solutions

Find undefined (singularity) points:

x = \frac{5}{3}

Combine undefined points with solutions:

x = \frac{86}{25}

2 = Q + \frac{f}{b}

\frac{6}{x} + \frac{x}{2} = 4

\frac{6}{x - 8} = 3 x

- \frac{2}{x} = - \frac{5}{x - 6}

\frac{a}{b} = \frac{c}{d + x}

What is the answer to (5(x-4)-6(x-11))/(3x-5)=8 ?
The answer to (5(x-4)-6(x-11))/(3x-5)=8 is x= 86/25
Solve for x: (5(x-4)-6(x-11))/(3x-5)=8
The solution is x= 86/25