Math Problem Statement
-5(1-5x) + % (-8x - 2)= -4x - 8x
Solution
Let's solve the given equation step by step.
The equation is:
It seems like there is a "%" symbol, which is not typically used in algebraic equations. Could you clarify what that symbol is meant to represent? For now, I'll proceed by ignoring it and solving the rest of the equation:
Step 1: Simplify both sides
On the left-hand side, distribute the across :
Now the equation becomes:
Step 2: Combine like terms
On the right-hand side, combine and :
Now the equation is:
Step 3: Move all terms involving to one side
Add to both sides:
This simplifies to:
Step 4: Solve for
Add 5 to both sides:
Now, divide both sides by 37:
Final answer:
Let me know if you need further clarification, or if the "%" symbol was intended to represent something else.
Would you like more details or have any other questions? Here are 5 related questions to explore:
- How do you distribute terms in algebraic expressions?
- What is the process of combining like terms?
- How do you isolate variables in an equation?
- What methods can be used to check if an equation is solved correctly?
- How do you handle equations with multiple variables?
Tip: Always simplify both sides of the equation as much as possible before solving for the variable.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Distribution
Combining Like Terms
Formulas
Distributive Property: a(b + c) = ab + ac
Combining Like Terms: ax + bx = (a + b)x
Theorems
Distributive Property
Linear Equation Solution Methods
Suitable Grade Level
Grades 8-10