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

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

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

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

x = 6

Solution steps

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

Multiply by LCM

7 x + 2 (x + 1) = 14 x - 28

Expand

2 (x + 1) : 2 x + 2

7 x + 2 x + 2 = 14 x - 28

Add similar elements:

7 x + 2 x = 9 x

9 x + 2 = 14 x - 28

Move

2

to the right side

9 x = 14 x - 30

Move

14 x

to the left side

- 5 x = - 30

Divide both sides by

- 5

x = 6

lo g_{6} (\frac{1}{216}) = - 3

x, 6 x + 4 y = 4

\frac{x - 3}{4} = \frac{2 x + 1}{9}

3 g - 5 = 17

\frac{2}{3} x + 4 = \frac{3}{2} (x - 4)