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

The answer to (x+3)/4 = x/3 is x=9

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(x+3)/4 = x/3

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

x = 9

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(x + 3) \cdot 3 = 4 x

Expand

(x + 3) \cdot 3 : 3 x + 9

3 x + 9 = 4 x

Move

9

to the right side

3 x = 4 x - 9

Move

4 x

to the left side

- x = - 9

Divide both sides by

- 1

x = 9

6 x = - 42

\frac{4}{5} x = 16

5 x - 11 = 14

y = lo g_{4} (2)

6 x = 180