Equation of first degree

First degree Equation Solver :   `ax+b=cx+d`
Coefficients may be fractional, real or complex numbers.

How to use this calculator ?

This calculator is a first degre equation solver : ax+b=cx+d.

Here are some hints to help you enter the coefficients of the equation.

1. Accepted inputs are,
   • integers, example: 5, -7
   • fractions, example: 1/3 or -2/9
   • decimal values, example: 3.9 or -9.65
   • constants, example: pi or e
   • common functions, for example: sin(pi/5)
   • square root operator, example : input sqrt(3) or 3^0.5 for `sqrt(3)`
   • complex numbers, example : 1+i ou -i
2. To enter a product of two factors, use the * operator. For example: enter 2*pi and not 2pi.

Understanding and Solving First-Degree Equations

First-degree equations are a type of mathematical problem where we seek to find the value of an unknown, usually denoted as x. These equations are in the form ax + b = cx + d, where a, b, c, and d are known numbers.

Steps to solve the equation:

1. Group the terms with x: Move all terms containing x to one side of the equation and the constant terms to the other side. For example, in 3x + 4 = 5x + 2, we move 5x to the left and 4 to the right to get 3x - 5x = 2 - 4.
2. Simplify the equation: Combine similar terms. In our example, this results in -2x = -2.
3. Find the value of x: Divide each side of the equation by the coefficient in front of x. Here, dividing by -2 gives x = 1.

Examples:

• Example 1: Solve 2x + 3 = 7.
  - Move 2x by itself to one side: 2x = 7 - 3.
  - Simplify: 2x = 4.
  - Divide by 2: x = 2.
• Example 2: Solve 5x + 6 = 3x + 10.
  - Group terms with x: 5x - 3x = 10 - 6.
  - Simplify: 2x = 4.
  - Divide by 2: x = 2.

By following these steps, you can solve any first-degree equation! Don't forget to check your answer by substituting it back into the original equation.

See also

Equation and Inequation Calculators
Mathematics Calculators

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