What is the answer to (X-1155.2)/X = 2/5 ?

The answer to (X-1155.2)/X = 2/5 is X= 5776/3

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(X-1155.2)/X = 2/5

\frac{X - 1155.2}{X} = \frac{2}{5}

X = \frac{5776}{3}

Decimal Notation

X = 1925.33333 \dots

Solution steps

\frac{X - 1155.2}{X} = \frac{2}{5}

Cross multiply

5 X - 5776 = X \cdot 2

Move

5776

to the right side

5 X = X \cdot 2 + 5776

Move

X 2

to the left side

3 X = 5776

Divide both sides by

3

X = \frac{5776}{3}

Verify Solutions

Find undefined (singularity) points:

X = 0

Combine undefined points with solutions:

X = \frac{5776}{3}

\frac{1}{x} = \frac{3.55}{5.5}

4 x^{3} (4 x^{- 3}) = 4

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

80 = \frac{90}{x}

y, x = \frac{y - 5}{2 y + 3}

What is the answer to (X-1155.2)/X = 2/5 ?
The answer to (X-1155.2)/X = 2/5 is X= 5776/3
Solve for X: (X-1155.2)/X = 2/5
The solution is X= 5776/3