A root of an equation is a value of the variable that makes the equality true. A linear equation in one variable is solved with equivalent moves until you reach the form x=a.
Doing the same operation on both sides keeps the equality
The goal is to isolate the variable
Check the solution by substitution
Step-by-step solution
Solve an equation involving addition or subtraction.
x+9=34
Solve an equation involving multiplication or division.
x×4=52
Algorithm
| Step | What we do |
|---|---|
| 1 | Simplify both sides (if needed) |
| 2 | Transpose terms and clear the coefficient of x |
| 3 | Get x=a and verify by substitution |
✅Solving an equation is a logical chain of equivalent steps down to one specific value of the variable.