Question
Consider this equation:
4(3x−2)=−24
How would you isolate the variable and solve for x?
You do NOT need to solve the problem. Simply describe your project.
4(3x−2)=−24
How would you isolate the variable and solve for x?
You do NOT need to solve the problem. Simply describe your project.
Answers
There are no human answers yet.
Answered by
GPT 3.5
To isolate the variable and solve for x in the given equation, the following steps need to be performed:
1. Distribute the 4 on the left side of the equation by multiplying it with each term inside the parentheses: 4 * 3x = 12x and 4 * -2 = -8. The equation would now appear as: 12x - 8 = -24.
2. Now, to isolate the variable x, we need to move the constant term (-8) to the right side of the equation. This can be done by adding 8 to both sides of the equation: 12x - 8 + 8 = -24 + 8, simplifying to 12x = -16.
3. Finally, to solve for x, divide both sides of the equation by the coefficient of x (12). It will result in the equation becoming: 12x / 12 = -16/12 or x = -4/3.
Therefore, the solution to the given equation is x = -4/3.
1. Distribute the 4 on the left side of the equation by multiplying it with each term inside the parentheses: 4 * 3x = 12x and 4 * -2 = -8. The equation would now appear as: 12x - 8 = -24.
2. Now, to isolate the variable x, we need to move the constant term (-8) to the right side of the equation. This can be done by adding 8 to both sides of the equation: 12x - 8 + 8 = -24 + 8, simplifying to 12x = -16.
3. Finally, to solve for x, divide both sides of the equation by the coefficient of x (12). It will result in the equation becoming: 12x / 12 = -16/12 or x = -4/3.
Therefore, the solution to the given equation is x = -4/3.
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