Solve: 8+x-2x = 16
Answer
x = -8
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Step-by-Step Breakdown
- Expand and simplify the left-hand side: 8+x-2x = -x + 8
- Expand and simplify the right-hand side: 16 = 16
- Move every term to one side so the equation reads "...= 0": -x - 8 = 0
- This is a linear equation of the form ax+b=0, with a=-1 and b=-8.
- Solve for x: x = -b/a = -(-8)/-1 = -8
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 8+x-2x = 16?
x = -8.