Solve: 11 = 2(8+3x)+49
Answer
x = -9
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Step-by-Step Breakdown
- Expand and simplify the left-hand side: 11 = 11
- Expand and simplify the right-hand side: 2(8+3x)+49 = 6x + 65
- Move every term to one side so the equation reads "...= 0": -6x - 54 = 0
- This is a linear equation of the form ax+b=0, with a=-6 and b=-54.
- Solve for x: x = -b/a = -(-54)/-6 = -9
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 11 = 2(8+3x)+49?
x = -9.