I want to make sure that I understand how to do this problem.
What is the value of x if 3/2x-2=15 + x?
Would the solution be 2/9?
No.
I assume you mean (3/2)x at the beginning, not 3/(2x) or 3/(2x-2). They would lead to different answers.
x/2 = 17
x = 34
To find the value of x in the equation (3/2)x - 2 = 15 + x, we need to combine like terms and isolate x on one side of the equation.
Here is the step-by-step solution:
1. Start with the given equation: (3/2)x - 2 = 15 + x.
2. To eliminate the fraction in front of x, we can multiply every term in the equation by the denominator of the fraction, which is 2. This gives us: 2 * ((3/2)x - 2) = 2 * (15 + x).
Simplifying this equation gives us: 3x - 4 = 30 + 2x.
3. Next, we want to isolate the terms with x on one side of the equation. To do this, we can move the 2x term to the left side by subtracting 2x from both sides:
3x - 4 - 2x = 30 + 2x - 2x.
Simplifying this equation gives us: x - 4 = 30.
4. Finally, to solve for x, we can add 4 to both sides of the equation:
x - 4 + 4 = 30 + 4.
Simplifying this equation gives us: x = 34.
Therefore, the value of x in the given equation is x = 34.
Based on these steps, the solution to the equation is x = 34. However, the solution you provided (2/9) does not satisfy the equation. Double-check your calculations to ensure accuracy.