Understanding the Equation
The equation we need to solve is:
3X - 14 = 4
This is a linear equation in one variable (X). Our goal is to isolate X on one side of the equation.
Step-by-Step Solution
1. Add 14 to both sides:
- To eliminate the -14 from the left side, we add 14 to both sides of the equation.
- New equation:
3X - 14 + 14 = 4 + 14
Simplifies to:
3X = 18
2. Divide by 3:
- Next, we divide both sides by 3 to solve for X.
- New equation:
3X / 3 = 18 / 3
Simplifies to:
X = 6
Conclusion
The solution to the equation 3X - 14 = 4 is:
- X = 6
Verification
To ensure our solution is correct, we can substitute X back into the original equation:
- Original equation: 3(6) - 14 = 4
- Left side calculation: 18 - 14 = 4
- Which simplifies to: 4 = 4
Since both sides of the equation are equal, our solution is verified.
Final Answer
- The solution to the equation is X = 6.