Solve: 7(17-x) = 5(11+x)
Answer
x = 5.3333333333
Try your own numbers
Step-by-Step Breakdown
- Expand and simplify the left-hand side: 7(17-x) = -7x + 119
- Expand and simplify the right-hand side: 5(11+x) = 5x + 55
- Move every term to one side so the equation reads "...= 0": -12x + 64 = 0
- This is a linear equation of the form ax+b=0, with a=-12 and b=64.
- Solve for x: x = -b/a = -(64)/-12 = 5.3333333333
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 7(17-x) = 5(11+x)?
x = 5.3333333333.