To solve the equation 1/6 + x + 2/3 = 1/8, we need to find the value of x that satisfies the equation.
First, we can simplify the equation by finding a common denominator for all the fractions involved. The least common multiple of 6, 3, and 8 is 24.
So, let's rewrite the equation using the common denominator of 24:
(4/24) + (8/24)x + (16/24) = (3/24)
Now, we can combine the numerators and equate them:
4 + 8x + 16 = 3
Next, we can simplify the equation by combining like terms:
8x + 20 = 3
To isolate x, we'll subtract 20 from both sides of the equation:
8x = 3 - 20
= -17
Finally, we'll divide both sides of the equation by 8 to solve for x:
x = (-17)/8
The solution to the equation 1/6 + x + 2/3 = 1/8 is x = -17/8.
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