Question

8 solve for x and identify the number of solutions. use paper to record your work. 2x - 1 = x + 3

Explanation:

Step1: Subtract \( x \) from both sides

To isolate \( x \) terms, subtract \( x \) from each side of the equation \( 2x - 1 = x + 3 \). This gives \( 2x - x - 1 = x - x + 3 \), which simplifies to \( x - 1 = 3 \).

Step2: Add 1 to both sides

To solve for \( x \), add 1 to both sides of \( x - 1 = 3 \). So, \( x - 1 + 1 = 3 + 1 \), which simplifies to \( x = 4 \).
Since we found a unique value for \( x \), there is 1 solution.

Answer:

\( x = 4 \), and the number of solutions is 1.