What is the answer to 7/(x+2)= 3/(x-5) ?

The answer to 7/(x+2)= 3/(x-5) is x= 41/4

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7/(x+2)= 3/(x-5)

\frac{7}{x + 2} = \frac{3}{x - 5}

x = \frac{41}{4}

Decimal Notation

x = 10.25

Solution steps

\frac{7}{x + 2} = \frac{3}{x - 5}

Cross multiply

7 x - 35 = 3 x + 6

Move

35

to the right side

7 x = 3 x + 41

Move

3 x

to the left side

4 x = 41

Divide both sides by

4

x = \frac{41}{4}

Verify Solutions

Find undefined (singularity) points:

x = - 2, x = 5

Combine undefined points with solutions:

x = \frac{41}{4}

\frac{( a ^{3} - 16 )}{8 a} = \frac{3}{8 \cdot a ^{2}}

x^{- 1} 6 x + 64 = 0

lo g_{3} (y + 14) = \frac{1 + 2}{( lo g _{y} ( 3 ) )}

2 (x - [\frac{1}{x}])^{2} + 3 (x + [\frac{1}{x}]) - 12 = 0

\frac{1}{( x + 2 )} + \frac{1}{x} = \frac{3}{4}

What is the answer to 7/(x+2)= 3/(x-5) ?
The answer to 7/(x+2)= 3/(x-5) is x= 41/4
Solve for x: 7/(x+2)= 3/(x-5)
The solution is x= 41/4