Answer :
To solve the equation [tex]\(4(3x-6) = 24\)[/tex], let’s break down the steps and identify which step is not part of a typical solution process:
1. Original Equation
Start with:
[tex]\(4(3x-6) = 24\)[/tex]
2. Distribute the 4
When you distribute 4 inside the parentheses, you get:
[tex]\(12x - 24 = 24\)[/tex]
3. Add 24 to both sides
To isolate the term with [tex]\(x\)[/tex], add 24 to both sides:
[tex]\(12x - 24 + 24 = 24 + 24\)[/tex] which simplifies to:
[tex]\(12x = 48\)[/tex]
4. Divide both sides by 12
To solve for [tex]\(x\)[/tex], divide both sides by 12:
[tex]\(12x / 12 = 48 / 12\)[/tex] which simplifies to:
[tex]\(x = 4\)[/tex]
5. Incorrect Step
The step showing [tex]\( 12 x = 48 / 12 / 12 \)[/tex] is not correct in this context, as it's an unnecessary and incorrect manipulation of the equation at that step.
So, identifying the incorrect step, "12 x = 48 / 12 / 12," is indeed not part of the correct solution process. This step should not occur when solving the equation as correctly done here. The final answer is [tex]\(x = 4\)[/tex].
1. Original Equation
Start with:
[tex]\(4(3x-6) = 24\)[/tex]
2. Distribute the 4
When you distribute 4 inside the parentheses, you get:
[tex]\(12x - 24 = 24\)[/tex]
3. Add 24 to both sides
To isolate the term with [tex]\(x\)[/tex], add 24 to both sides:
[tex]\(12x - 24 + 24 = 24 + 24\)[/tex] which simplifies to:
[tex]\(12x = 48\)[/tex]
4. Divide both sides by 12
To solve for [tex]\(x\)[/tex], divide both sides by 12:
[tex]\(12x / 12 = 48 / 12\)[/tex] which simplifies to:
[tex]\(x = 4\)[/tex]
5. Incorrect Step
The step showing [tex]\( 12 x = 48 / 12 / 12 \)[/tex] is not correct in this context, as it's an unnecessary and incorrect manipulation of the equation at that step.
So, identifying the incorrect step, "12 x = 48 / 12 / 12," is indeed not part of the correct solution process. This step should not occur when solving the equation as correctly done here. The final answer is [tex]\(x = 4\)[/tex].
