What is the answer to (60+120+50x)/(10+x)=34 ?

The answer to (60+120+50x)/(10+x)=34 is x=10

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(60+120+50x)/(10+x)=34

\frac{60 + 120 + 50 x}{10 + x} = 34

x = 10

Solution steps

\frac{60 + 120 + 50 x}{10 + x} = 34

Simplify

\frac{60 + 120 + 50 x}{10 + x} : \frac{50 x + 180}{10 + x}

\frac{50 x + 180}{10 + x} = 34

Multiply both sides by

10 + x

50 x + 180 = 34 (10 + x)

Expand

34 (10 + x) : 340 + 34 x

50 x + 180 = 340 + 34 x

Move

180

to the right side

50 x = 34 x + 160

Move

34 x

to the left side

16 x = 160

Divide both sides by

16

x = 10

Verify Solutions

Find undefined (singularity) points:

x = - 10

Combine undefined points with solutions:

x = 10

\frac{x}{2 x - 4} - 4 = \frac{1}{x - 2}

\frac{3}{x + 1} = \frac{2}{x + 3}

\frac{3 x ^{2} - 2}{x ^{2} + x + 1} = \frac{2}{1}

\frac{1}{x ^{2}} + \frac{8}{x} + 15 = 0

80 x - \frac{360}{x ^{2}} = 0

What is the answer to (60+120+50x)/(10+x)=34 ?
The answer to (60+120+50x)/(10+x)=34 is x=10
Solve for x: (60+120+50x)/(10+x)=34
The solution is x=10