Math Problem Statement
(¾)x + 1 = (½)x - 3
Solution
Let's solve the equation .
Step-by-step Solution:
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Eliminate the fractions: Multiply the entire equation by 4, the least common denominator of 4 and 2, to eliminate the fractions: Simplifying both sides:
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Move -terms to one side: Subtract from both sides:
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Isolate : Subtract 4 from both sides:
Final Answer:
Would you like further clarification or details on any step?
Related Questions:
- How do you solve equations with more complicated fractions?
- What are some tips for solving equations involving decimals?
- How do you solve equations with variables on both sides and constants?
- Can you explain how to handle equations with parentheses and fractions?
- What is the process for solving quadratic equations?
Tip:
When solving equations with fractions, clearing the denominators by multiplying through by the least common multiple makes the process much simpler.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Equations with Fractions
Formulas
Ax + B = C
Theorems
Basic Properties of Equality
Suitable Grade Level
Grades 6-8
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