Solve: 13x/2+3 = 5
Answer
x = 0.3076923077
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Step-by-Step Breakdown
- Expand and simplify the left-hand side: 13x/2+3 = 6.5x + 3
- Expand and simplify the right-hand side: 5 = 5
- Move every term to one side so the equation reads "...= 0": 6.5x - 2 = 0
- This is a linear equation of the form ax+b=0, with a=6.5 and b=-2.
- Solve for x: x = -b/a = -(-2)/6.5 = 0.3076923077
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 13x/2+3 = 5?
x = 0.3076923077.