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

The answer to (x+4)/3 =(x+6)/4 is x=2

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

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

x = 2

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

(x + 4) \cdot 4 : 4 x + 16

Expand

3 (x + 6) : 3 x + 18

4 x + 16 = 3 x + 18

Move

16

to the right side

4 x = 3 x + 2

Move

3 x

to the left side

x = 2

20 = x - 9

(a - 3) 2 = 5 - 10 a

\frac{1}{3} (6 f + 5) + \frac{2}{3} (3 f - 1) = \frac{4}{3} f

b, f = b a^{x}

\frac{x}{4} = 2^{- 2}