Answer :
To solve the problem and find the correct equation and solution for [tex]\( x \)[/tex], let's go through each option:
1. Equation: [tex]\( 30x = 145 \)[/tex]
To solve for [tex]\( x \)[/tex], divide both sides by 30:
[tex]\[
x = \frac{145}{30}
\][/tex]
2. Equation: [tex]\( 27x = 145 \)[/tex]
To solve for [tex]\( x \)[/tex], divide both sides by 27:
[tex]\[
x = \frac{145}{27}
\][/tex]
3. Equation: [tex]\( 5x + 25 = 145 \)[/tex]
To solve for [tex]\( x \)[/tex], follow these steps:
- First, subtract 25 from both sides to isolate the term with [tex]\( x \)[/tex]:
[tex]\[
5x + 25 - 25 = 145 - 25
\][/tex]
[tex]\[
5x = 120
\][/tex]
- Next, divide both sides by 5 to solve for [tex]\( x \)[/tex]:
[tex]\[
x = \frac{120}{5}
\][/tex]
- This gives:
[tex]\[
x = 24
\][/tex]
4. Equation: [tex]\( 2x + 25 = 145 \)[/tex]
To solve for [tex]\( x \)[/tex], follow these steps:
- Subtract 25 from both sides:
[tex]\[
2x + 25 - 25 = 145 - 25
\][/tex]
[tex]\[
2x = 120
\][/tex]
- Then, divide both sides by 2:
[tex]\[
x = \frac{120}{2}
\][/tex]
- This gives:
[tex]\[
x = 60
\][/tex]
Upon reviewing all steps, the correct equation that gives [tex]\( x = 24 \)[/tex] is [tex]\( 5x + 25 = 145 \)[/tex]. Therefore, the equation to use is the third one, [tex]\( 5x + 25 = 145 \)[/tex], which solves to give [tex]\( x = 24 \)[/tex].
1. Equation: [tex]\( 30x = 145 \)[/tex]
To solve for [tex]\( x \)[/tex], divide both sides by 30:
[tex]\[
x = \frac{145}{30}
\][/tex]
2. Equation: [tex]\( 27x = 145 \)[/tex]
To solve for [tex]\( x \)[/tex], divide both sides by 27:
[tex]\[
x = \frac{145}{27}
\][/tex]
3. Equation: [tex]\( 5x + 25 = 145 \)[/tex]
To solve for [tex]\( x \)[/tex], follow these steps:
- First, subtract 25 from both sides to isolate the term with [tex]\( x \)[/tex]:
[tex]\[
5x + 25 - 25 = 145 - 25
\][/tex]
[tex]\[
5x = 120
\][/tex]
- Next, divide both sides by 5 to solve for [tex]\( x \)[/tex]:
[tex]\[
x = \frac{120}{5}
\][/tex]
- This gives:
[tex]\[
x = 24
\][/tex]
4. Equation: [tex]\( 2x + 25 = 145 \)[/tex]
To solve for [tex]\( x \)[/tex], follow these steps:
- Subtract 25 from both sides:
[tex]\[
2x + 25 - 25 = 145 - 25
\][/tex]
[tex]\[
2x = 120
\][/tex]
- Then, divide both sides by 2:
[tex]\[
x = \frac{120}{2}
\][/tex]
- This gives:
[tex]\[
x = 60
\][/tex]
Upon reviewing all steps, the correct equation that gives [tex]\( x = 24 \)[/tex] is [tex]\( 5x + 25 = 145 \)[/tex]. Therefore, the equation to use is the third one, [tex]\( 5x + 25 = 145 \)[/tex], which solves to give [tex]\( x = 24 \)[/tex].
