Solve: 5x+9 = -54
Answer
x = -12.6
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Step-by-Step Breakdown
- Expand and simplify the left-hand side: 5x+9 = 5x + 9
- Expand and simplify the right-hand side: -54 = -54
- Move every term to one side so the equation reads "...= 0": 5x + 63 = 0
- This is a linear equation of the form ax+b=0, with a=5 and b=63.
- Solve for x: x = -b/a = -(63)/5 = -12.6
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+9 = -54?
x = -12.6.