-answer.jpeg "1/2x-7=1/3(x-12) Answer")
Solving the Equation: 1/2x - 7 = 1/3(x - 12)
In this article, we will solve the equation 1/2x - 7 = 1/3(x - 12) step by step.
Given Equation:
1/2x - 7 = 1/3(x - 12)
Step 1: Simplify the Right-Hand Side To simplify the right-hand side, we need to multiply both numerator and denominator of the fraction by 3 to eliminate the fraction.
1/2x - 7 = x - 12
Step 2: Isolate the Variable Our goal is to isolate the variable x. We can do this by adding 7 to both sides of the equation to get rid of the negative term.
1/2x = x - 5
Step 3: Solve for x Now, we can subtract x from both sides to get:
-1/2x = -5
Step 4: Multiply by -2 To solve for x, we can multiply both sides by -2 to get:
x = 10
Therefore, the solution to the equation 1/2x - 7 = 1/3(x - 12) is x = 10.
