Math Problem Statement
5x - 8 = x + 4
Solution
Let's solve the equation step by step:
The equation is:
- First, subtract from both sides to get rid of on the right-hand side:
This simplifies to:
- Next, add 8 to both sides to isolate the term with :
This simplifies to:
- Now, divide both sides by 4 to solve for :
Thus:
The solution is .
Would you like more details on any of the steps? Here are 5 related questions to expand on this:
- How do you solve equations with variables on both sides?
- What are the different ways to check if a solution is correct?
- How do you handle equations with more complex fractions?
- What happens when an equation has no solution?
- How do you solve equations with more than one variable?
Tip: Always check your solution by substituting it back into the original equation!
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Solving Equations
Basic Algebra
Formulas
Equation balancing: ax + b = cx + d
Theorems
Properties of equality
Suitable Grade Level
Grades 6-8