Math Problem Statement
(2x-7)-(x-5)=0
Solution
To solve the equation:
Step 1: Simplify the equation.
First, distribute the negative sign through the second parentheses:
Step 2: Combine like terms.
Now, combine the terms involving and the constants:
This simplifies to:
Step 3: Solve for .
To isolate , add 2 to both sides:
Thus, the solution is:
Would you like further details or explanations on any step?
Related Questions:
- What happens if we had a coefficient in front of both expressions?
- How do you solve similar equations with variables on both sides?
- What if there were multiple terms with in parentheses?
- Can this be solved graphically by plotting both sides of the equation?
- How do we handle equations with fractions?
Tip: Always simplify expressions inside parentheses and distribute negatives carefully to avoid errors.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Simplification
Formulas
Basic linear equation structure: ax + b = 0
Theorems
Distributive Property
Properties of Equality
Suitable Grade Level
Grades 6-8