Math Problem Statement
5x-2=3x+4
Solution
To solve the equation , we can isolate by following these steps:
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Subtract from both sides: which simplifies to
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Add 2 to both sides:
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Divide by 2:
So, the solution is .
Would you like further details on the steps, or have any other questions?
- How can you verify the solution to an equation?
- What are common techniques for solving linear equations?
- How would this process change if it were a quadratic equation?
- What happens when there is no solution to a linear equation?
- How can you interpret the solution graphically?
Tip: Always double-check your solution by substituting it back into the original equation.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Solving for Variables
Formulas
Isolating variables by addition/subtraction and division
Theorems
Basic properties of equality
Suitable Grade Level
Grades 7-8