Questions: Solve 20 - 3/8 x = -3/8 x + 20 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution is (Type an integer or a simplified fraction.) B. The solution set is (-∞, ∞). C. There is no solution

Solve 20 - 3/8 x = -3/8 x + 20 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution is (Type an integer or a simplified fraction.) B. The solution set is (-∞, ∞). C. There is no solution
Transcript text: Solve \[ 20-\frac{3}{8} x=-\frac{3}{8} x+20 \] Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution is $\square$ (Type an integer or a simplified fraction.) B. The solution set is $(-\infty, \infty)$. C. There is no solution
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Solution

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Solution Steps

To solve the equation \( 20 - \frac{3}{8} x = -\frac{3}{8} x + 20 \), we need to simplify and isolate the variable \( x \). By observing the equation, we can see that both sides are identical, which implies that the equation is true for all values of \( x \).

Solution Approach
  1. Simplify both sides of the equation.
  2. Observe that both sides are identical.
  3. Conclude that the solution set is all real numbers.
Step 1: Simplify the Equation

Given the equation: \[ 20 - \frac{3}{8} x = -\frac{3}{8} x + 20 \]

Step 2: Combine Like Terms

Notice that both sides of the equation are identical: \[ 20 - \frac{3}{8} x = 20 - \frac{3}{8} x \]

Step 3: Analyze the Equation

Since both sides of the equation are the same, this implies that the equation is true for all values of \( x \).

Final Answer

The solution set is: \[ \boxed{(-\infty, \infty)} \]

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