Answer :
To solve the equation [tex]\(4(3x - 6) = 24\)[/tex], let's go through the steps and identify which one is not necessary.
1. Original Equation:
[tex]\[
4(3x - 6) = 24
\][/tex]
2. Step 1 - Distribute:
Multiply 4 with each term inside the parentheses:
[tex]\[
12x - 24 = 24
\][/tex]
3. Step 2 - Add 24 to Both Sides:
This step involves adding 24 to both sides of the equation:
[tex]\[
12x - 24 + 24 = 24 + 24
\][/tex]
Simplifying this gives:
[tex]\[
12x = 48
\][/tex]
Note: While it's mathematically correct, adding 24 to both sides isn't necessary for solving this particular equation directly. You could go to the next step directly from Step 1 without any addition.
4. Step 3 - Solve for [tex]\(x\)[/tex]:
Divide both sides by 12 to solve for [tex]\(x\)[/tex]:
[tex]\[
\frac{12x}{12} = \frac{48}{12}
\][/tex]
5. Step 4 - Result:
Simplifying gives:
[tex]\[
x = 4
\][/tex]
In conclusion, the unnecessary part of the solution process is Step 2, which involves adding 24 to both sides. You don't need that step to solve this equation.
1. Original Equation:
[tex]\[
4(3x - 6) = 24
\][/tex]
2. Step 1 - Distribute:
Multiply 4 with each term inside the parentheses:
[tex]\[
12x - 24 = 24
\][/tex]
3. Step 2 - Add 24 to Both Sides:
This step involves adding 24 to both sides of the equation:
[tex]\[
12x - 24 + 24 = 24 + 24
\][/tex]
Simplifying this gives:
[tex]\[
12x = 48
\][/tex]
Note: While it's mathematically correct, adding 24 to both sides isn't necessary for solving this particular equation directly. You could go to the next step directly from Step 1 without any addition.
4. Step 3 - Solve for [tex]\(x\)[/tex]:
Divide both sides by 12 to solve for [tex]\(x\)[/tex]:
[tex]\[
\frac{12x}{12} = \frac{48}{12}
\][/tex]
5. Step 4 - Result:
Simplifying gives:
[tex]\[
x = 4
\][/tex]
In conclusion, the unnecessary part of the solution process is Step 2, which involves adding 24 to both sides. You don't need that step to solve this equation.
