Solve: 8+3x-5x = -8
Answer
x = 8
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Step-by-Step Breakdown
- Expand and simplify the left-hand side: 8+3x-5x = -2x + 8
- Expand and simplify the right-hand side: -8 = -8
- Move every term to one side so the equation reads "...= 0": -2x + 16 = 0
- This is a linear equation of the form ax+b=0, with a=-2 and b=16.
- Solve for x: x = -b/a = -(16)/-2 = 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+3x-5x = -8?
x = 8.