What is the answer to (0.2x+3}{2 3/11}=\frac{1.1x)/5 ?

The answer to (0.2x+3}{2 3/11}=\frac{1.1x)/5 is x=10

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(0.2x+3}{2 3/11}=\frac{1.1x)/5

\frac{0.2 x + 3}{2 \frac{3}{11}} = \frac{1.1 x}{5}

x = 10

Solution steps

\frac{0.2 x + 3}{2 \frac{3}{11}} = \frac{1.1 x}{5}

Convert mixed numbers to improper fractions:

2 \frac{3}{11} = \frac{25}{11}

\frac{0.2 x + 3}{\frac{25}{11}} = \frac{1.1 x}{5}

Apply fraction cross multiply: if

\frac{a}{b} = \frac{c}{d}

then

a \cdot d = b \cdot c

(0.2 x + 3) \cdot 5 = \frac{25}{11} \cdot 1.1 x

Simplify

(0.2 x + 3) \cdot 5 = 2.5 x

Expand

(0.2 x + 3) \cdot 5 : x + 15

x + 15 = 2.5 x

Move

15

to the right side

x = 2.5 x - 15

Move

2.5 x

to the left side

- 1.5 x = - 15

Divide both sides by

- 1.5

x = 10

x, 2 x - y = 20

x, 2 x - y = 16

13 n - 6 p - 11 n = 2 p

4 - 3 x = - 8

f = 2 (- 2)^{2} - 3

What is the answer to (0.2x+3}{2 3/11}=\frac{1.1x)/5 ?
The answer to (0.2x+3}{2 3/11}=\frac{1.1x)/5 is x=10
Solve for x: (0.2x+3}{2 3/11}=\frac{1.1x)/5
The solution is x=10