Math Problem Statement

-5(1-5x) + % (-8x - 2)= -4x - 8x

Solution

Let's solve the given equation step by step.

The equation is:

5(15x)+%(8x2)=4x8x-5(1 - 5x) + \% (-8x - 2) = -4x - 8x

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 5-5 across (15x)(1 - 5x):

5(15x)=5+25x-5(1 - 5x) = -5 + 25x

Now the equation becomes:

5+25x=4x8x-5 + 25x = -4x - 8x

Step 2: Combine like terms

On the right-hand side, combine 4x-4x and 8x-8x:

4x8x=12x-4x - 8x = -12x

Now the equation is:

5+25x=12x-5 + 25x = -12x

Step 3: Move all terms involving xx to one side

Add 12x12x to both sides:

5+25x+12x=0-5 + 25x + 12x = 0

This simplifies to:

5+37x=0-5 + 37x = 0

Step 4: Solve for xx

Add 5 to both sides:

37x=537x = 5

Now, divide both sides by 37:

x=537x = \frac{5}{37}

Final answer:

x=537x = \frac{5}{37}

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:

  1. How do you distribute terms in algebraic expressions?
  2. What is the process of combining like terms?
  3. How do you isolate variables in an equation?
  4. What methods can be used to check if an equation is solved correctly?
  5. 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.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

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