Solving the Equation: 3/8(m+8)-3/16=2(m+3/4)+1/2
In this article, we will solve the equation 3/8(m+8)-3/16=2(m+3/4)+1/2 step by step.
Step 1: Simplify the Left Side of the Equation
Let's start by simplifying the left side of the equation:
3/8(m+8) - 3/16
= 3/8m + 3/8(8) - 3/16
= 3/8m + 3 - 3/16
Step 2: Simplify the Right Side of the Equation
Next, let's simplify the right side of the equation:
2(m+3/4) + 1/2
= 2m + 2(3/4) + 1/2
= 2m + 3/2 + 1/2
= 2m + 2
Step 3: Equate the Two Expressions
Now, let's equate the two expressions:
3/8m + 3 - 3/16 = 2m + 2
Step 4: Solve for m
To solve for m, we can start by multiplying both sides of the equation by 16 to eliminate the fractions:
6m + 48 - 6 = 32m + 32
Subtract 48 from both sides:
6m - 6 = 32m - 16
Add 6 to both sides:
6m = 32m - 22
Subtract 32m from both sides:
-26m = -22
Divide both sides by -26:
m = 22/26
m = 11/13
Therefore, the value of m is 11/13.
Conclusion
In this article, we have successfully solved the equation 3/8(m+8)-3/16=2(m+3/4)+1/2 and found the value of m to be 11/13.
