Math Problem Statement
Solve the equation 4x + 1 = 2x - 5
Solution
The equation visible in the image is:
Let’s solve this step-by-step:
Step 1: Move all terms involving to one side.
Subtract from both sides:
Step 2: Move the constant to the other side.
Subtract 1 from both sides:
Step 3: Solve for .
Divide both sides by 2:
The solution to the equation is .
Would you like further details or have any questions?
Here are some related questions for practice:
- How would you check if is a correct solution?
- What happens if you move the constants first instead of the variables?
- Solve the equation .
- How would you solve the equation ?
- How can equations like this be applied in real-world problems?
Tip: Always simplify equations step-by-step and move terms logically to avoid mistakes.
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Algebra
Formulas
Basic linear equation: ax + b = cx + d
Theorems
Addition and Subtraction Properties of Equality
Suitable Grade Level
Grades 6-8