Solving the Equation (m + 3) / 2 = m - 5
This article will guide you through the steps of solving the equation (m + 3) / 2 = m - 5.
Step 1: Multiply Both Sides by 2
To eliminate the fraction, multiply both sides of the equation by 2:
2 * [(m + 3) / 2] = 2 * (m - 5)
This simplifies to:
m + 3 = 2m - 10
Step 2: Isolate the 'm' Term
To isolate the 'm' term on one side of the equation, subtract 'm' from both sides:
m + 3 - m = 2m - 10 - m
This simplifies to:
3 = m - 10
Step 3: Solve for 'm'
Finally, add 10 to both sides to solve for 'm':
3 + 10 = m - 10 + 10
This simplifies to:
m = 13
Solution
Therefore, the solution to the equation (m + 3) / 2 = m - 5 is m = 13.