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

The answer to x/3+(x+1)/7 =(x-2)/6 is x=-20/13

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

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

x = - \frac{20}{13}

Decimal Notation

x = - 1.53846 \dots

Solution steps

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

Multiply by LCM

14 x + 6 (x + 1) = 7 (x - 2)

Expand

6 (x + 1) : 6 x + 6

14 x + 6 x + 6 = 7 (x - 2)

Add similar elements:

14 x + 6 x = 20 x

20 x + 6 = 7 (x - 2)

Expand

7 (x - 2) : 7 x - 14

20 x + 6 = 7 x - 14

Move

6

to the right side

20 x = 7 x - 20

Move

7 x

to the left side

13 x = - 20

Divide both sides by

13

x = - \frac{20}{13}

\frac{a}{2} - 7 = 1

y, x + 2 y = - 3

c (9) + d = c + d (x - 9)

33 = - 73 y - 6

- \frac{1}{2} (12 x - 2) = - 6 x - 1

What is the answer to x/3+(x+1)/7 =(x-2)/6 ?
The answer to x/3+(x+1)/7 =(x-2)/6 is x=-20/13
Solve for x: x/3+(x+1)/7 =(x-2)/6
The solution is x=-20/13