What is the answer to (4x)/(5+x+2)= x/(2+x+5) ?

The answer to (4x)/(5+x+2)= x/(2+x+5) is x=0

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(4x)/(5+x+2)= x/(2+x+5)

\frac{4 x}{5 + x + 2} = \frac{x}{2 + x + 5}

x = 0

Solution steps

\frac{4 x}{5 + x + 2} = \frac{x}{2 + x + 5}

Simplify

\frac{4 x}{x + 7} = \frac{x}{x + 7}

Multiply both sides by

x + 7

4 x = x

Move

x

to the left side

3 x = 0

Divide both sides by

3

x = 0

Verify Solutions

Find undefined (singularity) points:

x = - 7

Combine undefined points with solutions:

x = 0

\frac{2}{( x + 2 )} + \frac{3}{( x - 1 )} = \frac{1}{( x + 2 )}

x^{2} + \frac{1}{( x ^{2} )} + x - \frac{1}{x} - 14 = 0

x^{2} + \frac{1}{( x ^{2} )} = x^{8} + \frac{1}{( x ^{8} )}

\frac{( x - 2 )}{( x + 1 )} = \frac{1}{2}

\frac{3}{5} + \frac{3}{( 2 x - 1 )} = 0

What is the answer to (4x)/(5+x+2)= x/(2+x+5) ?
The answer to (4x)/(5+x+2)= x/(2+x+5) is x=0
Solve for x: (4x)/(5+x+2)= x/(2+x+5)
The solution is x=0