What is the answer to (r+6)/3 =(r+8)/6 ?

The answer to (r+6)/3 =(r+8)/6 is r=-4

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(r+6)/3 =(r+8)/6

\frac{r + 6}{3} = \frac{r + 8}{6}

r = - 4

Solution steps

\frac{r + 6}{3} = \frac{r + 8}{6}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(r + 6) \cdot 6 = 3 (r + 8)

Expand

(r + 6) \cdot 6 : 6 r + 36

Expand

3 (r + 8) : 3 r + 24

6 r + 36 = 3 r + 24

Move

36

to the right side

6 r = 3 r - 12

Move

3 r

to the left side

3 r = - 12

Divide both sides by

3

r = - 4

2.5 = \frac{w}{2.8}

8 x + 14 = 3 (x - 7)

2 (2 - 7 y) - 5 = 11

- 4 (- 2 x - 2) + x - 2 = - 48 - 48

4 (x + 4) = 24 + 6 x