Math Problem Statement
(2x-5)=x+6 and after finding x please substitute
Solution
Let's solve the equation .
Step 1: Simplify the equation
We start by isolating on one side of the equation.
Step 2: Subtract from both sides
This simplifies to:
Step 3: Add 5 to both sides
Step 4: Substitute into the original equation
Substitute back into :
Left side:
Right side:
Both sides are equal, so is the correct solution.
Would you like more details or have any questions?
Here are 5 related questions:
- How would the solution change if the equation were ?
- What happens if we subtract instead of adding 5 in step 3?
- How can we verify a solution algebraically for any similar equation?
- What if the variable appears on both sides with different powers, such as ?
- How would you solve ?
Tip: Always check your solution by substituting it back into the original equation to verify both sides are equal.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Substitution
Formulas
Linear equation: ax + b = c
Theorems
Equality theorem: If two expressions are equal, performing the same operation on both sides maintains equality.
Suitable Grade Level
Grades 6-8