Solve: -2-8x+1 = -9
Answer
x = 1
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Step-by-Step Breakdown
- Expand and simplify the left-hand side: -2-8x+1 = -8x - 1
- Expand and simplify the right-hand side: -9 = -9
- Move every term to one side so the equation reads "...= 0": -8x + 8 = 0
- This is a linear equation of the form ax+b=0, with a=-8 and b=8.
- Solve for x: x = -b/a = -(8)/-8 = 1
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 -2-8x+1 = -9?
x = 1.