Solving Linear Equations

Understanding Linear Equations

A linear equation is an equation that can be written in the form:

ax + b = c

where a, b, and c are constants, and x is the variable.

Steps to Solve

1. Simplify both sides - Combine like terms and distribute if needed
2. Move variables to one side - Add or subtract terms to get all variables on one side
3. Move constants to the other side - Add or subtract to isolate the variable term
4. Divide to isolate the variable - Divide both sides by the coefficient

Example

Solve: 3x + 5 = 14

1. Subtract 5 from both sides: 3x = 9
2. Divide by 3: x = 3

Common Mistakes to Avoid

• Forgetting to apply operations to both sides
• Sign errors when moving terms
• Not checking your answer by substituting back