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Math Problem Solving
Get step-by-step solutions for algebra, calculus, geometry, and more.
Science Homework
Understand complex concepts in physics, chemistry, and biology.
Study Support
Get help with assignments, test preparation, and concept clarification.
Learning Reinforcement
Strengthen understanding through detailed explanations and examples.
Example AI Homework Solution
See how our AI provides step-by-step solutions with detailed explanations
Solution
Key Equation
Solve for x: 2x + 5 = 13
Solution Steps
Start with the original equation
We begin with the given equation that we need to solve.
2x + 5 = 13
Why
This is our starting point. We need to isolate the variable x on one side of the equation.
Subtract 5 from both sides
To isolate the term with x, we subtract 5 from both sides of the equation.
2x + 5 - 5 = 13 - 5
Why
We perform the same operation on both sides to maintain the equality. This is the fundamental principle of solving equations.
Simplify both sides
After subtracting 5, we simplify the equation.
2x = 8
Why
On the left side: 2x + 5 - 5 = 2x. On the right side: 13 - 5 = 8. Now we have a simpler equation.
Divide both sides by 2
To solve for x, we divide both sides by the coefficient of x, which is 2.
2x ÷ 2 = 8 ÷ 2
Why
Dividing by 2 on both sides will isolate x. This gives us the value of x.
Final solution
We have successfully solved for x.
x = 4
Why
The solution is x = 4. We can verify this by substituting back into the original equation: 2(4) + 5 = 8 + 5 = 13 ✓
Final Answer
x = 4