# How do you solve #(x-1) /3 - (x-1) /2 = 6#?

To verify this solution, replace x in the original equation with -35.

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To solve the equation (x-1)/3 - (x-1)/2 = 6, you can follow these steps:

- Find a common denominator for the fractions, which in this case is 6.
- Rewrite the equation with the common denominator: (2(x-1) - 3(x-1))/6 = 6.
- Simplify the numerator: (2x - 2 - 3x + 3)/6 = 6.
- Combine like terms: (-x + 1)/6 = 6.
- Multiply both sides of the equation by 6 to eliminate the fraction: -x + 1 = 36.
- Subtract 1 from both sides: -x = 35.
- Multiply both sides by -1 to solve for x: x = -35.

Therefore, the solution to the equation (x-1)/3 - (x-1)/2 = 6 is x = -35.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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