Steps to Solve a Linear Equation for a Variable

Let's solve the equation \(2x - 5 = 7\):

3. Isolate the Variable on One Side: \(2x = 7 + 5\)
4. Combine Like Terms: \(2x = 12\)
7. Continue Isolating the Variable: Divide both sides by 2: \(x = 6\)
8. Check Your Solution: Substitute \(x = 6\) back into the original equation: \(2(6) - 5 = 7\)
9. Write Down the Solution: \(x = 6\) is the solution.