- Analyze the given equation: \(4x - 7 = 18\).
- Isolate the term \(4x\) by adding \(7\) to both sides of the equation.
- Calculate the resulting value: \(18 + 7 = 25\).
- Conclude that the value of \(4x\) is \(\boxed{25}\).
Explanation
- Analysis of the Equation
The given problem involves a linear equation in the form \(4x - 7 = 18\). Our goal is to find the value of the term \(4x\) directly. By analyzing the structure of the equation, we can observe that adding a constant value to both sides will allow us to isolate the expression \(4x\).
- Solving for 4x
Starting with the equation:
\[4x - 7 = 18\]
To isolate the term \(4x\), we add \(7\) to both sides of the equation:
\[4x - 7 + 7 = 18 + 7\]
\[4x = 25\]
Thus, the value of the expression \(4x\) is \(25\).
Examples
Imagine you are tracking your savings in a piggy bank. You have a current balance represented by \(4x\), but you have already spent 7 dollars, leaving you with exactly 18 dollars in the account. To figure out your total balance \(4x\) before the purchase, you add the 7 dollars you spent back to your current remaining amount of 18 dollars. This simple addition helps you determine the original value of the balance you had.