Math Problem Statement
−(3x+8)+6= −(7x−9)
Solution
We will solve the equation step by step:
Given equation:
Step 1: Distribute the negative signs.
Distribute the negative sign on both sides:
Step 2: Simplify both sides.
On the left-hand side: So, the equation becomes:
Step 3: Move all terms involving to one side and constants to the other.
Add to both sides:
Now, add 2 to both sides:
Step 4: Solve for .
Divide both sides by 4:
So, the solution is:
Would you like more details on any step or have any questions?
Here are 5 related questions:
- How would you solve if the equation involved fractions?
- How does distributing negative signs affect an equation?
- What is the next step if we had variables on both sides of a more complex equation?
- How do you solve equations that involve powers of ?
- What if the equation had decimals instead of fractions?
Tip: Always combine like terms first before moving terms across the equals sign to simplify equations faster.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Distributive Property
Formulas
Distributive Property: a(b + c) = ab + ac
Theorems
Properties of Equality
Suitable Grade Level
Grades 8-10