What is the answer to (x+2)/4 = x/3 ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(x+2)/4 = x/3

\frac{x + 2}{4} = \frac{x}{3}

x = 6

Solution steps

\frac{x + 2}{4} = \frac{x}{3}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(x + 2) \cdot 3 = 4 x

Expand

(x + 2) \cdot 3 : 3 x + 6

3 x + 6 = 4 x

Move

6

to the right side

3 x = 4 x - 6

Move

4 x

to the left side

- x = - 6

Divide both sides by

- 1

x = 6

9 - 3 x = - 5 + 4 x

2 x + 4 = - 4

7 (x - 1) - 4 x - 4 (x - 2) = 2

x, y = \frac{1}{4} x + 0.5

x, f^{- 1} (x) = \frac{x}{8} + 3