Solving the Equation
To find the value of x in the equation 2x + 3 = 11 – 5x, we need to isolate x step by step.
Step 1: Combine like terms
First, let’s get all the x terms on one side. We can achieve this by adding 5x to both sides of the equation:
2x + 5x + 3 = 11
This simplifies to:
7x + 3 = 11
Step 2: Subtract 3 from both sides
Next, we need to eliminate the constant on the left side by subtracting 3 from both sides:
7x + 3 - 3 = 11 - 3
This simplifies to:
7x = 8
Step 3: Divide by 7
To isolate x, divide both sides by 7:
x = \frac{8}{7}
Conclusion
The value of x that is in the solution set of the equation is:
x = \frac{8}{7}