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Answer :
To solve the equation [tex]\(3x - 5 = 16\)[/tex] for [tex]\(x\)[/tex], let's go through the steps together:
1. Add 5 to both sides of the equation: This will help us isolate the term with [tex]\(x\)[/tex].
[tex]\[
3x - 5 + 5 = 16 + 5
\][/tex]
Simplifying gives:
[tex]\[
3x = 21
\][/tex]
2. Divide both sides by 3: This will solve for [tex]\(x\)[/tex].
[tex]\[
\frac{3x}{3} = \frac{21}{3}
\][/tex]
Simplifying gives:
[tex]\[
x = 7
\][/tex]
So, the solution to the equation is [tex]\(x = 7\)[/tex]. Looking at the choices:
- [tex]\(x = 7\)[/tex]
- [tex]\(x = 11\)[/tex]
- [tex]\(x = 21\)[/tex]
- [tex]\(x = 3\)[/tex]
The correct answer is [tex]\(x = 7\)[/tex].
1. Add 5 to both sides of the equation: This will help us isolate the term with [tex]\(x\)[/tex].
[tex]\[
3x - 5 + 5 = 16 + 5
\][/tex]
Simplifying gives:
[tex]\[
3x = 21
\][/tex]
2. Divide both sides by 3: This will solve for [tex]\(x\)[/tex].
[tex]\[
\frac{3x}{3} = \frac{21}{3}
\][/tex]
Simplifying gives:
[tex]\[
x = 7
\][/tex]
So, the solution to the equation is [tex]\(x = 7\)[/tex]. Looking at the choices:
- [tex]\(x = 7\)[/tex]
- [tex]\(x = 11\)[/tex]
- [tex]\(x = 21\)[/tex]
- [tex]\(x = 3\)[/tex]
The correct answer is [tex]\(x = 7\)[/tex].
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