Math Problem Statement
-2(x + 3) + 1 = -7
Solution
To solve the equation for , follow these steps:
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Distribute the across the parentheses: So the equation becomes:
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Combine like terms on the left side:
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Add 5 to both sides to isolate the term with :
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Divide both sides by to solve for :
So, the solution is .
Would you like more details, or do you have any questions?
Here are five related questions to further your understanding:
- What is the next step if you had ?
- How do you handle equations where the distribution results in both positive and negative terms?
- What happens if, after combining like terms, the variable term is zero?
- Can you describe how to check if your solution is correct by substituting back into the original equation?
- How would the process change if the equation involved fractions?
Tip: Always perform the same operation on both sides of an equation to maintain balance.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Distributive Property
Formulas
Distributive property: a(b + c) = ab + ac
Linear equation solving: ax + b = c
Theorems
Distributive Property
Properties of Equality
Suitable Grade Level
Grades 7-9