Math Problem Statement
1+5(x-7)=2-2(x-9)
Solution
Let's solve the equation step-by-step:
Step 1: Distribute terms
Expand both sides by distributing the constants into the parentheses:
Step 2: Simplify each side
Combine like terms on each side:
Step 3: Move variable terms to one side
Add to both sides to collect all -terms on the left:
Step 4: Move constant terms to the other side
Add to both sides to isolate the -term:
Step 5: Solve for
Divide by to get:
So, the solution is:
Would you like further clarification on any of these steps?
Here are some related questions to explore further:
- How do you handle equations with multiple distribution steps?
- What are common mistakes in distributing terms in equations?
- How does isolating variables simplify solving equations?
- What methods can be used to verify the solution of an equation?
- How can fractions be simplified in the solution process?
Tip: Always double-check your work by plugging the solution back into the original equation.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Distributive Property
Solving Equations
Formulas
Distributive Property: a(b + c) = ab + ac
Solving linear equations
Theorems
Solving linear equations by isolating variables
Suitable Grade Level
Grades 7-8