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Answer :
Sure, let's solve the equation step-by-step.
We begin with the equation:
[tex]\[
\frac{1}{2}(x-14) + 11 = \frac{1}{2} x - (x - 4)
\][/tex]
First, distribute the [tex]\(\frac{1}{2}\)[/tex] on the left side:
[tex]\[
\frac{1}{2} x - \frac{1}{2} \cdot 14 + 11 = \frac{1}{2} x - (x - 4)
\][/tex]
Simplify the left side:
[tex]\[
\frac{1}{2} x - 7 + 11 = \frac{1}{2} x - x + 4
\][/tex]
Combine like terms on the left side:
[tex]\[
\frac{1}{2} x + 4 = \frac{1}{2} x - x + 4
\][/tex]
Now, simplify the right side. Subtract [tex]\(\frac{1}{2} x\)[/tex] and add 4 on the right side:
[tex]\[
\frac{1}{2} x + 4 = -\frac{1}{2} x + 4
\][/tex]
Next, subtract 4 from both sides to eliminate the constant term:
[tex]\[
\frac{1}{2} x = -\frac{1}{2} x
\][/tex]
Now, let's add [tex]\(\frac{1}{2} x\)[/tex] to both sides to combine the [tex]\(x\)[/tex] terms on one side:
[tex]\[
\frac{1}{2} x + \frac{1}{2} x = 0
\][/tex]
This results in:
[tex]\[
x = 0
\][/tex]
So, the value of [tex]\(x\)[/tex] is [tex]\(0\)[/tex].
We begin with the equation:
[tex]\[
\frac{1}{2}(x-14) + 11 = \frac{1}{2} x - (x - 4)
\][/tex]
First, distribute the [tex]\(\frac{1}{2}\)[/tex] on the left side:
[tex]\[
\frac{1}{2} x - \frac{1}{2} \cdot 14 + 11 = \frac{1}{2} x - (x - 4)
\][/tex]
Simplify the left side:
[tex]\[
\frac{1}{2} x - 7 + 11 = \frac{1}{2} x - x + 4
\][/tex]
Combine like terms on the left side:
[tex]\[
\frac{1}{2} x + 4 = \frac{1}{2} x - x + 4
\][/tex]
Now, simplify the right side. Subtract [tex]\(\frac{1}{2} x\)[/tex] and add 4 on the right side:
[tex]\[
\frac{1}{2} x + 4 = -\frac{1}{2} x + 4
\][/tex]
Next, subtract 4 from both sides to eliminate the constant term:
[tex]\[
\frac{1}{2} x = -\frac{1}{2} x
\][/tex]
Now, let's add [tex]\(\frac{1}{2} x\)[/tex] to both sides to combine the [tex]\(x\)[/tex] terms on one side:
[tex]\[
\frac{1}{2} x + \frac{1}{2} x = 0
\][/tex]
This results in:
[tex]\[
x = 0
\][/tex]
So, the value of [tex]\(x\)[/tex] is [tex]\(0\)[/tex].
Thanks for taking the time to read Karissa begins to solve the equation tex frac 1 2 x 14 11 frac 1 2 x x 4 tex Her work is correct and. 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!
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