.jpeg "1/2x-7=1/4(x-12)")
Solving the Equation: 1/2x - 7 = 1/4(x - 12)
In this article, we will solve the equation 1/2x - 7 = 1/4(x - 12) step by step.
Step 1: Simplify the Right-Hand Side
First, let's simplify the right-hand side of the equation:
1/4(x - 12) = 1/4x - 3
So, the equation becomes:
1/2x - 7 = 1/4x - 3
Step 2: Multiply Both Sides by 4
To eliminate the fractions, we multiply both sides of the equation by 4:
2x - 28 = x - 12
Step 3: Simplify and Solve
Now, let's simplify the equation:
2x - x = -12 + 28
x = 16
Therefore, the solution to the equation is x = 16.
Conclusion
In this article, we have solved the equation 1/2x - 7 = 1/4(x - 12) step by step. The solution to the equation is x = 16.
