Solve: 8n-4 = 3(2n+8)
Answer
n = 14
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Step-by-Step Breakdown
- Expand and simplify the left-hand side: 8n-4 = 8n - 4
- Expand and simplify the right-hand side: 3(2n+8) = 6n + 24
- Move every term to one side so the equation reads "...= 0": 2n - 28 = 0
- This is a linear equation of the form an+b=0, with a=2 and b=-28.
- Solve for n: n = -b/a = -(-28)/2 = 14
Theory & Definitions
A linear equation in one unknown can always be rearranged into the form an+b=0 (a≠0), which has exactly one solution: n = -b/a.
Frequently Asked Questions
What is the solution to 8n-4 = 3(2n+8)?
n = 14.