Solve: 1/2 = 1x+2
Answer
x = -1.5
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Step-by-Step Breakdown
- Expand and simplify the left-hand side: 1/2 = 0.5
- Expand and simplify the right-hand side: 1x+2 = x + 2
- Move every term to one side so the equation reads "...= 0": -x - 1.5 = 0
- This is a linear equation of the form ax+b=0, with a=-1 and b=-1.5.
- Solve for x: x = -b/a = -(-1.5)/-1 = -1.5
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 1/2 = 1x+2?
x = -1.5.