Calculator with Variables and Negatives

This calculator handles mathematical expressions with variables and negative numbers. It evaluates equations like "x + (-5) = 10" and solves for variables when possible. The calculator shows the formula used, assumptions, and provides clear results with explanations.

How to Use This Calculator

Enter your mathematical expression in the input field. The calculator will:

Parse the expression for variables and negative numbers
Check for solvability (can the equation be solved for the variable?)
Calculate the result if possible
Display the solution with explanation

For example, entering "x + (-5) = 10" will solve for x and show that x = 15.

Formula Explained

The calculator uses basic algebraic principles to solve equations of the form:

ax + b = c

Where:

a = coefficient of x
b = constant term
c = right-hand side value

The solution is calculated as: x = (c - b) / a

For equations with multiple variables or more complex expressions, the calculator will indicate that it cannot solve the equation.

Worked Examples

Example 1: Simple Equation

Equation: x + (-5) = 10

Solution: x = 10 - (-5) = 15

Example 2: Coefficient Equation

Equation: 2x + 3 = 7

Solution: 2x = 7 - 3 → x = (4)/2 = 2

Example 3: Negative Solution

Equation: 3x - 4 = -10

Solution: 3x = -10 + 4 → x = (-6)/3 = -2

Frequently Asked Questions

Can this calculator solve any equation?: No, this calculator can only solve simple linear equations with one variable. More complex equations may not be solvable.
What happens if I enter an unsolvable equation?: The calculator will display a message explaining that the equation cannot be solved with the current formula.
How does the calculator handle negative numbers?: The calculator treats negative numbers as part of the equation and follows standard algebraic rules for their manipulation.
Can I use variables other than x?: Currently, the calculator only supports the variable x. Support for other variables may be added in future updates.
Is the calculator accurate?: Yes, the calculator follows standard algebraic principles and provides accurate solutions when possible.