Solve: 5x = 8x-7
Answer
x = 2.3333333333
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Step-by-Step Breakdown
- Expand and simplify the left-hand side: 5x = 5x
- Expand and simplify the right-hand side: 8x-7 = 8x - 7
- Move every term to one side so the equation reads "...= 0": -3x + 7 = 0
- This is a linear equation of the form ax+b=0, with a=-3 and b=7.
- Solve for x: x = -b/a = -(7)/-3 = 2.3333333333
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 = 8x-7?
x = 2.3333333333.