Math Problem Statement
solve: 1/2(x+3)=2(x-3)
Solution
We are given the equation:
Step 1: Eliminate the fraction
Multiply both sides of the equation by 2 to eliminate the fraction:
Step 2: Expand both sides
Expand both sides of the equation:
Step 3: Isolate the variable
Move all terms involving to one side and constant terms to the other side:
Simplify:
Step 4: Solve for
Divide both sides by :
Thus, the solution is:
Would you like more details on any step, or do you have any questions?
Relative Questions:
- How can you check the solution of an equation?
- How do you handle equations with multiple variables?
- What is the difference between solving linear and quadratic equations?
- How can you solve equations involving fractions?
- What are the common mistakes when solving linear equations?
Tip:
Always check your solution by plugging it back into the original equation to verify it works!
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Formulas
Equation solving: ax + b = cx + d
Basic operations with fractions
Theorems
Property of equality
Distributive property
Suitable Grade Level
Grades 7-8