# Equation of first degree

First degree Equation Solver : `ax+b=cx+d`

Coefficients may be fractional, real or complex numbers.

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.

- 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

- 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:**

**Group the terms with**Move all terms containing`x`

:`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`

.**Simplify the equation:**Combine similar terms. In our example, this results in`-2x = -2`

.**Find the value of**Divide each side of the equation by the coefficient in front of`x`

:`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