Math Problem Statement
6-4x=6x-8x+2
Solution
We need to solve the equation .
Step 1: Simplify both sides of the equation.
- On the left-hand side, it stays the same: .
- On the right-hand side, combine like terms to get .
So the equation becomes:
Step 2: Move all terms involving to one side of the equation.
- Add to both sides to eliminate the from the left:
Step 3: Isolate the variable .
-
Subtract 2 from both sides to get:
-
Divide both sides by 2 to solve for :
Final Answer:
Would you like any more details or have any questions?
Here are 5 related questions to expand your understanding:
- How would the solution change if the equation were ?
- Can you solve ?
- What happens when both sides of the equation have the same coefficients for ?
- How do you solve an equation with fractions, such as ?
- What are some examples of equations that don't have a solution?
Tip: Always simplify both sides of an equation first before trying to isolate the variable.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Combining Like Terms
Formulas
Linear equation of the form ax + b = cx + d
Theorems
Properties of Equality
Suitable Grade Level
Grades 7-8