We appreciate your visit to Karissa begins to solve the equation frac 1 2 x 14 11 frac 1 2 x x 4 Her work is correct and is shown. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
We begin with the equation
$$
\frac{1}{2}(x-14) + 11 = \frac{1}{2}x - (x-4).
$$
**Step 1. Distribute and simplify each side.**
For the left side:
$$
\frac{1}{2}(x-14) + 11 = \frac{1}{2}x - 7 + 11 = \frac{1}{2}x + 4.
$$
For the right side, distribute the negative sign:
$$
\frac{1}{2}x - (x-4) = \frac{1}{2}x - x + 4 = -\frac{1}{2}x + 4.
$$
So, the equation becomes:
$$
\frac{1}{2}x + 4 = -\frac{1}{2}x + 4.
$$
**Step 2. Eliminate the constant term by subtracting $4$ from both sides.**
Subtracting $4$ from both sides gives:
$$
\frac{1}{2}x + 4 - 4 = -\frac{1}{2}x + 4 - 4 \quad \Longrightarrow \quad \frac{1}{2}x = -\frac{1}{2}x.
$$
**Step 3. Solve for $x$.**
To isolate $x$, add $\frac{1}{2}x$ to both sides:
$$
\frac{1}{2}x + \frac{1}{2}x = -\frac{1}{2}x + \frac{1}{2}x.
$$
Simplify the left side:
$$
\left(\frac{1}{2} + \frac{1}{2}\right)x = 0 \quad \Longrightarrow \quad x = 0.
$$
Thus, the value of $x$ is $\boxed{0}$.
$$
\frac{1}{2}(x-14) + 11 = \frac{1}{2}x - (x-4).
$$
**Step 1. Distribute and simplify each side.**
For the left side:
$$
\frac{1}{2}(x-14) + 11 = \frac{1}{2}x - 7 + 11 = \frac{1}{2}x + 4.
$$
For the right side, distribute the negative sign:
$$
\frac{1}{2}x - (x-4) = \frac{1}{2}x - x + 4 = -\frac{1}{2}x + 4.
$$
So, the equation becomes:
$$
\frac{1}{2}x + 4 = -\frac{1}{2}x + 4.
$$
**Step 2. Eliminate the constant term by subtracting $4$ from both sides.**
Subtracting $4$ from both sides gives:
$$
\frac{1}{2}x + 4 - 4 = -\frac{1}{2}x + 4 - 4 \quad \Longrightarrow \quad \frac{1}{2}x = -\frac{1}{2}x.
$$
**Step 3. Solve for $x$.**
To isolate $x$, add $\frac{1}{2}x$ to both sides:
$$
\frac{1}{2}x + \frac{1}{2}x = -\frac{1}{2}x + \frac{1}{2}x.
$$
Simplify the left side:
$$
\left(\frac{1}{2} + \frac{1}{2}\right)x = 0 \quad \Longrightarrow \quad x = 0.
$$
Thus, the value of $x$ is $\boxed{0}$.
Thanks for taking the time to read Karissa begins to solve the equation frac 1 2 x 14 11 frac 1 2 x x 4 Her work is correct and is shown. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
