Solve: 22x = 5x+2
Answer
x = 0.1176470588
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Step-by-Step Breakdown
- Expand and simplify the left-hand side: 22x = 22x
- Expand and simplify the right-hand side: 5x+2 = 5x + 2
- Move every term to one side so the equation reads "...= 0": 17x - 2 = 0
- This is a linear equation of the form ax+b=0, with a=17 and b=-2.
- Solve for x: x = -b/a = -(-2)/17 = 0.1176470588
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 22x = 5x+2?
x = 0.1176470588.