Solve linear equations of the form ax + b = cx + d instantly with our free online solver. Get detailed step-by-step solutions for any first-degree equation.
- Enter the coefficients a, b, c, d for the equation ax + b = cx + d
- The equation preview updates in real-time as you type
- The solution and step-by-step breakdown appear automatically
- Leave any coefficient empty to treat it as 0
- Instant solving — Results appear as you type
- Step-by-step solutions — See every step of the solving process
- Fraction results — Answers displayed as fractions when applicable
- Special cases — Handles infinite solutions and no solution cases
- What is a linear equation?
- A linear equation is an equation where the highest power of the variable is 1, such as 2x + 3 = 7.
- When does a linear equation have no solution?
- When simplifying leads to a contradiction like 0 = 5, meaning no value of x satisfies the equation.
- When does it have infinite solutions?
- When both sides simplify to the same expression (e.g., 0 = 0), meaning every value of x is a solution.
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