What is the answer to 7/4 = 5/x-2 ?

The answer to 7/4 = 5/x-2 is x= 4/3

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7/4 = 5/x-2

\frac{7}{4} = \frac{5}{x} - 2

x = \frac{4}{3}

Decimal Notation

x = 1.33333 \dots

Solution steps

\frac{7}{4} = \frac{5}{x} - 2

Multiply by LCM

7 x = 20 - 8 x

Move

8 x

to the left side

15 x = 20

Divide both sides by

15

x = \frac{4}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{4}{3}

(a + 7) (\frac{851}{a}) = 1110

3 x + 2 (- \frac{1}{10 x}) = 100

s, P = \frac{f v}{v - s}

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

a - a^{- 1} = 1