Question

here is an equation.\\(2x - 5 = 3\\)\
draw a graph to help solve the equation. then find the solution to the equation.\
solution: \\(x = \square\\)

Explanation:

Step1: Isolate the variable term

To solve the equation \(2x - 5 = 3\), first, we add 5 to both sides of the equation to isolate the term with \(x\).
\[2x - 5 + 5 = 3 + 5\]
Simplifying both sides, we get:
\[2x = 8\]

Step2: Solve for \(x\)

Now, we divide both sides of the equation \(2x = 8\) by 2 to solve for \(x\).
\[\frac{2x}{2} = \frac{8}{2}\]
Simplifying, we find:
\[x = 4\]

(For graphing: We can consider the function \(y = 2x - 5\) and find where \(y = 3\). The graph of \(y = 2x - 5\) is a straight line. When \(y = 3\), we solve as above and find the \(x\)-value is 4, so the point \((4, 3)\) lies on the line, and the solution to the equation \(2x - 5 = 3\) is the \(x\)-coordinate of the point where \(y = 3\) on the graph of \(y = 2x - 5\).)

Answer:

\(x = 4\)