Linear Equation

Solving a Linear Equation

1. Simplify parentheses first if they are present.
2. If coefficients are decimals, multiply both sides of the equation by , , , or similar to convert the coefficients into integers.
3. If coefficients are fractions, multiply both sides of the equation by the least common multiple (LCM) of the denominators to make the coefficients integers.
4. Rearrange the equation so that the linear term with is on the left-hand side, and the constant term is on the right-hand side, resulting in the form (where ).
5. Divide both sides by the coefficient of to express the solution in the form (value).

Steps to Solve Problems Using Linear Equations

1. Define the Variable
   Understand the problem and represent the unknown value as .
2. Set Up the Equation
   Construct a linear equation in terms of based on the given problem.
3. Solve the Equation
   Solve the linear equation using appropriate methods.
4. Verify the Solution
   Check if the solution satisfies the conditions of the problem.