%3D8%2B3(2x%2B5).jpeg "12-2(x+3)=8+3(2x+5)")
Solving the Equation 12-2(x+3)=8+3(2x+5)
In this article, we will learn how to solve the equation 12-2(x+3)=8+3(2x+5). This equation involves variables, constants, and mathematical operations, making it a bit challenging to solve. But don't worry, we'll break it down step by step to find the value of x.
Step 1: Simplify the Equation
Let's start by simplifying the equation:
12 - 2(x + 3) = 8 + 3(2x + 5)
First, we'll simplify the left side of the equation:
12 - 2x - 6 = 8 + 3(2x + 5)
This gives us:
6 - 2x = 8 + 3(2x + 5)
Step 2: Simplify the Right Side
Next, we'll simplify the right side of the equation:
8 + 6x + 15 = 6 - 2x
This gives us:
6x + 23 = 6 - 2x
Step 3: Combine Like Terms
Now, let's combine like terms on both sides of the equation:
6x + 2x + 23 = 6
This gives us:
8x + 23 = 6
Step 4: Isolate the Variable
Next, we'll isolate the variable x by subtracting 23 from both sides of the equation:
8x = -17
Then, we'll divide both sides of the equation by 8:
x = -17/8
Answer
The value of x is -17/8.
In conclusion, we have successfully solved the equation 12-2(x+3)=8+3(2x+5) and found the value of x to be -17/8. This problem involved simplifying the equation, combining like terms, and isolating the variable to find the solution.
