What is the answer to (x-6)/5 =(x+1)/6 ?

The answer to (x-6)/5 =(x+1)/6 is x=41

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(x-6)/5 =(x+1)/6

\frac{x - 6}{5} = \frac{x + 1}{6}

x = 41

Solution steps

\frac{x - 6}{5} = \frac{x + 1}{6}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(x - 6) \cdot 6 = 5 (x + 1)

Expand

(x - 6) \cdot 6 : 6 x - 36

Expand

5 (x + 1) : 5 x + 5

6 x - 36 = 5 x + 5

Move

36

to the right side

6 x = 5 x + 41

Move

5 x

to the left side

x = 41

3 x^{4} - 2 x^{3} + 11 x^{2} - 8 x - 4

(x + 2 i)^{2} (x - 2 i)^{2}

\frac{2 a ^{2} b}{b ^{2} c} \cdot \frac{b}{a}

x^{3} y^{3} + 64

\frac{\frac{3 π}{4}}{2}