What is the answer to (x-2)/6-(x+1)/7 =(x+3)/5 ?

The answer to (x-2)/6-(x+1)/7 =(x+3)/5 is x=-226/37

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(x-2)/6-(x+1)/7 =(x+3)/5

\frac{x - 2}{6} - \frac{x + 1}{7} = \frac{x + 3}{5}

x = - \frac{226}{37}

Decimal Notation

x = - 6.10810 \dots

Solution steps

\frac{x - 2}{6} - \frac{x + 1}{7} = \frac{x + 3}{5}

Multiply by LCM

35 (x - 2) - 30 (x + 1) = 42 (x + 3)

Expand

35 (x - 2) - 30 (x + 1) : 5 x - 100

Expand

42 (x + 3) : 42 x + 126

5 x - 100 = 42 x + 126

Move

100

to the right side

5 x = 42 x + 226

Move

42 x

to the left side

- 37 x = 226

Divide both sides by

- 37

x = - \frac{226}{37}

\frac{5}{6} - (\frac{x - 11}{10}) = - (\frac{6 x + 11}{9})

7 x - 4 = - 7 x + 52

x, 2 x + y = 25

- 3 x - 205 = 18 x + 400

7 x - 12 = \frac{2 x}{2}

What is the answer to (x-2)/6-(x+1)/7 =(x+3)/5 ?
The answer to (x-2)/6-(x+1)/7 =(x+3)/5 is x=-226/37
Solve for x: (x-2)/6-(x+1)/7 =(x+3)/5
The solution is x=-226/37