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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