Solve: 7m-3 = 5m+7
Answer
m = 5
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Step-by-Step Breakdown
- Expand and simplify the left-hand side: 7m-3 = 7m - 3
- Expand and simplify the right-hand side: 5m+7 = 5m + 7
- Move every term to one side so the equation reads "...= 0": 2m - 10 = 0
- This is a linear equation of the form am+b=0, with a=2 and b=-10.
- Solve for m: m = -b/a = -(-10)/2 = 5
Theory & Definitions
A linear equation in one unknown can always be rearranged into the form am+b=0 (a≠0), which has exactly one solution: m = -b/a.
Frequently Asked Questions
What is the solution to 7m-3 = 5m+7?
m = 5.