Math Problem Statement
2(5c+2)-2c=3(2c+3)+7
Solution
Let's solve the equation step by step:
Given equation:
Step 1: Expand both sides.
On the left-hand side: So:
On the right-hand side: So:
Step 2: Simplify both sides.
Left-hand side:
Right-hand side:
Now the equation becomes:
Step 3: Move all the terms involving to one side.
Subtract from both sides:
Step 4: Solve for .
Subtract 4 from both sides:
Now, divide by 2:
Final Answer:
Would you like any further details on the solution or any clarifications?
Here are some related questions for practice:
- Solve .
- Solve .
- Solve .
- Solve .
- Solve .
Tip: Always expand parentheses first and then simplify both sides before solving for the variable.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Distributive Property
Formulas
Distributive Property: a(b + c) = ab + ac
Theorems
Basic properties of equality (addition, subtraction, division)
Suitable Grade Level
Grades 6-8