Solve: 12x-37 = 59
Answer
x = 8
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Step-by-Step Breakdown
- Expand and simplify the left-hand side: 12x-37 = 12x - 37
- Expand and simplify the right-hand side: 59 = 59
- Move every term to one side so the equation reads "...= 0": 12x - 96 = 0
- This is a linear equation of the form ax+b=0, with a=12 and b=-96.
- Solve for x: x = -b/a = -(-96)/12 = 8
Theory & Definitions
A linear equation in one unknown can always be rearranged into the form ax+b=0 (a≠0), which has exactly one solution: x = -b/a.
Frequently Asked Questions
What is the solution to 12x-37 = 59?
x = 8.