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

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

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2x-(x-2)/2 = x/3-6

2 x - \frac{x - 2}{2} = \frac{x}{3} - 6

x = - 6

Solution steps

2 x - \frac{x - 2}{2} = \frac{x}{3} - 6

Multiply by LCM

12 x - 3 (x - 2) = 2 x - 36

Expand

- 3 (x - 2) : - 3 x + 6

12 x - 3 x + 6 = 2 x - 36

Add similar elements:

12 x - 3 x = 9 x

9 x + 6 = 2 x - 36

Move

6

to the right side

9 x = 2 x - 42

Move

2 x

to the left side

7 x = - 42

Divide both sides by

7

x = - 6

- 6 (2 t + 3) = 18

3 x^{2} + 6 x = 9

\frac{( a ^{2} - b ^{(2)} )}{a + b} - (a + b)^{2} + 2 (a^{2} + ab)

8^{\frac{- 1}{3}}

\frac{x}{7} = \frac{x}{6} - 2

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