Solve for X:
We have hundreds of course questions with personalized recommendations + Account 100% premium
Solve for X:
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: Simplify the given equation:
The original equation is: .
Combine like terms on the left side of the equation:
, so the equation becomes:
.
Step 2: Isolate the variable :
Subtract 10 from both sides of the equation to move the constant term:
.
Simplify the right side:
.
Step 3: Solve for :
Multiply both sides of the equation by to solve for :
.
Therefore, the solution to the problem is .
5
Solve the equation
\( 5x-15=30 \)
Combining like terms first makes the equation simpler! Instead of working with 3 - x + 7 = 5, you get the cleaner 10 - x = 5, which is much easier to solve.
When you have negative x, multiply both sides by -1 to make x positive. So -x = -5 becomes x = 5. Remember: multiplying by -1 flips the signs on both sides!
Substitute x = 5 back into the original equation: 3 - 5 + 7 = 5. Calculate step by step: 3 - 5 = -2, then -2 + 7 = 5. Since 5 = 5, your answer is correct!
Both methods work! You could add x to get 10 = 5 + x, then subtract 5. But subtracting 10 from both sides is often more direct when you have a negative x term.
Be careful with signs! The original equation has -x, not +x. When combining 3 - x + 7, you get 3 + 7 - x = 10 - x. Always double-check your signs when combining terms.
Get unlimited access to all 18 Linear Equations (One Variable) questions, detailed video solutions, and personalized progress tracking.
Unlimited Video Solutions
Step-by-step explanations for every problem
Progress Analytics
Track your mastery across all topics
Ad-Free Learning
Focus on math without distractions
No credit card required • Cancel anytime