Solve: (x-25)+(3x+5) = 180
Answer
x = 50
Try your own numbers
Step-by-Step Breakdown
- Expand and simplify the left-hand side: (x-25)+(3x+5) = 4x - 20
- Expand and simplify the right-hand side: 180 = 180
- Move every term to one side so the equation reads "...= 0": 4x - 200 = 0
- This is a linear equation of the form ax+b=0, with a=4 and b=-200.
- Solve for x: x = -b/a = -(-200)/4 = 50
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 (x-25)+(3x+5) = 180?
x = 50.