Math Problem Statement
6z-2=6+10z
Solution
Let's solve the equation step-by-step:
Given:
Step 1: Move all terms with to one side.
We can subtract from both sides to start simplifying: This simplifies to:
Step 2: Move the constant term to the other side.
Now, subtract 6 from both sides: This simplifies to:
Step 3: Solve for .
Now, divide both sides by 4 to isolate : Simplifying:
Final Answer:
Would you like more details or have any questions?
Further exploration:
- What happens if we multiply both sides by a different constant to solve for ?
- How do you verify the solution by substituting back into the original equation?
- What if we had an equation with a higher degree, like ?
- What would happen if the equation had fractional coefficients?
- How can we solve equations with absolute values?
Tip: When solving equations, always perform the same operation on both sides to maintain equality!
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Algebraic Manipulation
Formulas
ax + b = c
Solving for x by isolating terms
Theorems
Addition and Subtraction Properties of Equality
Division Property of Equality
Suitable Grade Level
Grades 7-9