Solve: 5(11c-18) = 3(2c+7)
Answer
c = 2.2653061224
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Step-by-Step Breakdown
- Expand and simplify the left-hand side: 5(11c-18) = 55c - 90
- Expand and simplify the right-hand side: 3(2c+7) = 6c + 21
- Move every term to one side so the equation reads "...= 0": 49c - 111 = 0
- This is a linear equation of the form ac+b=0, with a=49 and b=-111.
- Solve for c: c = -b/a = -(-111)/49 = 2.2653061224
Theory & Definitions
A linear equation in one unknown can always be rearranged into the form ac+b=0 (a≠0), which has exactly one solution: c = -b/a.
Frequently Asked Questions
What is the solution to 5(11c-18) = 3(2c+7)?
c = 2.2653061224.