What is the solution to the equation Two-thirds x + 1 = one-sixth x minus 7?

x = -16

Step-by-step explanation:

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

Multiply each side by 6 to get rid of the fractions

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

4x +6 = x - 42

Subtract x from each side

4x-x +6 = x-x-42

3x +6 = -42

Subtract 6 from each side

3x +6-6 = -42-6

3x = -48

Divide each side by 3

3x/3 = -48/3

x = -16

So the right answer is -16

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