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

The answer to (x+2)/4 =(x+5)/5 is x=10

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

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

x = 10

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(x + 2) \cdot 5 = 4 (x + 5)

Expand

(x + 2) \cdot 5 : 5 x + 10

Expand

4 (x + 5) : 4 x + 20

5 x + 10 = 4 x + 20

Move

10

to the right side

5 x = 4 x + 10

Move

4 x

to the left side

x = 10

e^{- 3 x} \cdot e^{- 3 x}

4 - 4 x + x^{2}

(27)^{2}

8 y^{3} + 10 y^{2} + 3 y

(\frac{3}{2})^{- 4}