A linear equation in one variable has the general form ax + b = c, where a, b, and c are constants and x is the unknown variable we want to find.

Solution Method:

1. Isolate the variable term: Subtract b from both sides to get ax = c - b
2. Solve for x: Divide both sides by a to get x = (c - b)/a
3. Check the solution: Substitute the value back into the original equation

Examples:

Important: The coefficient of x (value a) cannot be zero, as this would make the equation either have no solution or infinitely many solutions.