What is the answer to (x+52)/(11-x)= 5/2 ?

The answer to (x+52)/(11-x)= 5/2 is x=-7

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(x+52)/(11-x)= 5/2

\frac{x + 52}{11 - x} = \frac{5}{2}

x = - 7

Solution steps

\frac{x + 52}{11 - x} = \frac{5}{2}

Cross multiply

2 x + 104 = 55 - 5 x

Move

104

to the right side

2 x = - 5 x - 49

Move

5 x

to the left side

7 x = - 49

Divide both sides by

7

x = - 7

Verify Solutions

Find undefined (singularity) points:

x = 11

Combine undefined points with solutions:

x = - 7

x 898.47 = \frac{1000}{1 + x ^{2}}

\frac{0.2 + x}{( 2 - 2 x ) ^{2}} = 0.078

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

\frac{5}{4} = \frac{5}{x}

2.2 = \frac{4}{x}

What is the answer to (x+52)/(11-x)= 5/2 ?
The answer to (x+52)/(11-x)= 5/2 is x=-7
Solve for x: (x+52)/(11-x)= 5/2
The solution is x=-7