Math Problem Statement
Solve for xx: minus, 2, x, plus, 1, equals, minus, x, plus, 7 −2x+1= −x+7
Solution
We are given the equation:
Step 1: Get all the -terms on one side.
First, we want to eliminate the on the right side. To do that, add to both sides of the equation:
This simplifies to:
Step 2: Move the constant term to the other side.
Now, subtract 1 from both sides:
Simplifying gives:
Step 3: Solve for .
To isolate , multiply both sides of the equation by :
Final Answer:
Let me know if you need further clarification or a breakdown of any step!
Related Questions:
- How would the solution change if we had ?
- What is the solution to the equation ?
- How do you solve an equation with fractions, like ?
- Can you solve equations where the variable appears on both sides, like ?
- What is the difference between solving a linear equation and a quadratic equation?
Tip: When solving linear equations, always aim to get the variable on one side and constants on the other to simplify the process.
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Algebra
Formulas
Ax + B = Cx + D
Theorems
Solving linear equations
Suitable Grade Level
Grades 7-9