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

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

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

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

x = - 7

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

(x + 5) \cdot 5 : 5 x + 25

Expand

2 (x + 2) : 2 x + 4

5 x + 25 = 2 x + 4

Move

25

to the right side

5 x = 2 x - 21

Move

2 x

to the left side

3 x = - 21

Divide both sides by

3

x = - 7

3 x - 1 = 12 - x

x, x + y = - 15

\frac{x}{2} - \frac{3 x}{5} = \frac{x - 6}{2}

- 2 x + 3 = 9

- \frac{z}{2} + 35 = 42