Solve: 12/5 = 6x
Answer
x = 0.4
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Step-by-Step Breakdown
- Expand and simplify the left-hand side: 12/5 = 2.4
- Expand and simplify the right-hand side: 6x = 6x
- Move every term to one side so the equation reads "...= 0": -6x + 2.4 = 0
- This is a linear equation of the form ax+b=0, with a=-6 and b=2.4.
- Solve for x: x = -b/a = -(2.4)/-6 = 0.4
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 12/5 = 6x?
x = 0.4.