%2B(x%2B5)%3D78.jpeg "(x+5)+(x+5)=78")
Solving the Equation (x+5)+(x+5)=78
This article will guide you through solving the equation (x+5)+(x+5)=78. We'll break down the steps involved in finding the value of 'x' that satisfies this equation.
1. Simplify the Equation
The first step is to simplify the equation by combining like terms.
- We have two instances of (x+5) being added together.
- This can be rewritten as 2(x+5)=78.
2. Distribute the Multiplication
Now, we need to distribute the 2 to the terms inside the parentheses:
- 2x + 25 = 78
- This simplifies to 2x + 10 = 78
3. Isolate the Variable
Our goal is to isolate 'x' on one side of the equation. To do this, we subtract 10 from both sides:
- 2x + 10 - 10 = 78 - 10
- This gives us 2x = 68
4. Solve for x
Finally, we divide both sides of the equation by 2 to solve for 'x':
- 2x / 2 = 68 / 2
- This results in x = 34
Conclusion
Therefore, the solution to the equation (x+5)+(x+5)=78 is x=34. By following these steps, you can confidently solve similar equations and find the value of the unknown variable.