Question

Which value of x satisfies the equation one half, left parenthesis, x, minus, start fraction, 3, divided by, 4, end fraction, right parenthesis, equals, one eigth
2
1
​
(x−
4
3
​
)=
8
1
​
?
Answer
Multiple Choice Answers
minus, 2 −2
minus, 1 −1

Answer 1

To solve the equation \(\frac{1}{2} \left( x - \frac{3}{4} \right) = \frac{1}{8}\), we can start by multiplying both sides of the equation by 2 to eliminate the fraction:

\[
x - \frac{3}{4} = \frac{1}{8} \times 2
\]

This simplifies to:

\[
x - \frac{3}{4} = \frac{2}{8} = \frac{1}{4}
\]

Next, we add \(\frac{3}{4}\) to both sides of the equation:

\[
x = \frac{1}{4} + \frac{3}{4}
\]

Now, combining the fractions:

\[
x = \frac{1 + 3}{4} = \frac{4}{4} = 1
\]

However, neither of the multiple-choice answers given (-2 or -1) is equal to 1. Please check if there might be a mistake in the setup or if there is any additional context needed regarding the equation or the choices.

If you have the correct equation or more answers to consider, please provide them for further assistance.