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To solve the equation 3/4 - (5/6 - x) = 1/12, we need to simplify the equation and solve for x. First, let's simplify the equation: 3/4 - (5/6 - x) = 1/12 3/4 - 5/6 + x = 1/12 To add fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 12. Multiplying the numerator and denominator of the first fraction by 3, we get: 9/12 - 5/6 + x = 1/12 Multiplying the numerator and denominator of the second fraction by 2, we get: 9/12 - 10/12 + x = 1/12 Combining like terms on the left side of the equation, we get: (-1/12) + x = 1/12 To isolate x, we subtract 1/12 from both sides of the equation: x = 1/12 + 1/12 x = 2/12 x = 1/6 Therefore, the solution to the equation 3/4 - (5/6 - x) = 1/12 is x = 1/6.

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