Solve: 5x+33 = 113
Answer
x = 16
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Step-by-Step Breakdown
- Expand and simplify the left-hand side: 5x+33 = 5x + 33
- Expand and simplify the right-hand side: 113 = 113
- Move every term to one side so the equation reads "...= 0": 5x - 80 = 0
- This is a linear equation of the form ax+b=0, with a=5 and b=-80.
- Solve for x: x = -b/a = -(-80)/5 = 16
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 5x+33 = 113?
x = 16.