I need to know how to work this problem and show my work: 1/5x-3x+2=2/5x + 18
First rather the x
so:
1/5x-3x+2=2/5x+18
1/5x-3x-2/5x=18-2
-3.2x=16
-x=5
x=-5
I don't know if this is correct. Please cheak over it.
i don't unstand math. how can i?
To solve the given equation "1/5x-3x+2=2/5x + 18," you need to eliminate the fractions and isolate the variable x.
Here's a step-by-step guide on how to solve the equation and show your work:
Step 1: Clear the fractions:
To get rid of the fractions, you can multiply the entire equation by the least common denominator (LCD) of the fractions, which, in this case, is 5. Multiplying both sides of the equation by 5, you get:
5 * (1/5x - 3x + 2) = 5 * (2/5x + 18).
This simplifies to:
x - 15x + 10 = 2x + 90.
Step 2: Combine like terms:
Combine the x terms on each side of the equation:
(-14x) + 10 = 2x + 90.
Simplifying further:
-14x + 10 = 2x + 90.
Step 3: Move the variable terms to one side:
To isolate the variable term, you can move the 2x term from the right side of the equation to the left side by subtracting 2x from both sides:
-14x + 10 - 2x = 2x + 90 - 2x.
This simplifies to:
-16x + 10 = 90.
Step 4: Move the constant terms to the other side:
Next, you need to move the constant term (10) from the left side of the equation to the right side. You can do this by subtracting 10 from both sides:
-16x + 10 - 10 = 90 - 10.
This simplifies to:
-16x = 80.
Step 5: Solve for x:
To solve for x, divide both sides of the equation by -16:
(-16x) / -16 = 80 / -16.
This simplifies to:
x = -5.
So, after working through the problem, the solution is x = -5.
To improve your understanding of math, here are a few tips:
1. Practice regularly: Consistent practice is crucial for understanding and retaining mathematical concepts.
2. Seek help when needed: If you have trouble understanding a specific topic or concept, don't hesitate to seek help from a teacher, tutor, or online resources.
3. Break problems into smaller steps: Math problems can often be broken down into smaller, more manageable steps. Take your time and tackle each step one at a time.
4. Study the basics: Make sure you have a solid foundation in basic mathematical concepts before attempting more complex problems. Reviewing fundamentals can make tackling more difficult topics easier.
5. Engage with the material: Rather than just memorizing formulas or procedures, try to understand the underlying concepts and why certain rules or formulas work. This deep understanding will make problem-solving more intuitive.
Remember, with consistent effort and a positive attitude, anyone can improve their understanding of math.