%3D1%2F3(2m%2B4).jpeg "(2m-16)=1/3(2m+4)")
Solving the Equation: (2m-16) = 1/3(2m+4)
This article will walk you through the steps to solve the equation (2m-16) = 1/3(2m+4).
Step 1: Distribute the 1/3
Begin by distributing the 1/3 on the right side of the equation:
(2m - 16) = (1/3)(2m) + (1/3)(4)
This simplifies to:
(2m - 16) = (2/3)m + (4/3)
Step 2: Combine Like Terms
To isolate the 'm' terms, subtract (2/3)m from both sides of the equation:
(2m - 16) - (2/3)m = (2/3)m + (4/3) - (2/3)m
This results in:
(4/3)m - 16 = (4/3)
Step 3: Isolate the 'm' Term
Next, add 16 to both sides of the equation:
(4/3)m - 16 + 16 = (4/3) + 16
Simplifying:
(4/3)m = (52/3)
Step 4: Solve for 'm'
To solve for 'm', multiply both sides of the equation by the reciprocal of (4/3), which is (3/4):
(3/4) * (4/3)m = (3/4) * (52/3)
This simplifies to:
m = 13
Conclusion
Therefore, the solution to the equation (2m - 16) = 1/3(2m + 4) is m = 13.