What is the answer to (x+3)/4 =(x+6)/6 ?

The answer to (x+3)/4 =(x+6)/6 is x=3

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(x+3)/4 =(x+6)/6

\frac{x + 3}{4} = \frac{x + 6}{6}

x = 3

Solution steps

\frac{x + 3}{4} = \frac{x + 6}{6}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(x + 3) \cdot 6 = 4 (x + 6)

Expand

(x + 3) \cdot 6 : 6 x + 18

Expand

4 (x + 6) : 4 x + 24

6 x + 18 = 4 x + 24

Move

18

to the right side

6 x = 4 x + 6

Move

4 x

to the left side

2 x = 6

Divide both sides by

2

x = 3

x + 5 = 20

24 = c - 17

\frac{x}{5} + \frac{x}{3} = 8

lo g_{15} (1515) = n

x, 8 x = 2 y - 4