To find the solutions to the equation 3x + 4x + 5 = 0, we first need to simplify the left side of the equation. The equation can be grouped based on the terms involving x:
Step 1: Combine like terms
We can combine the x terms:
3x + 4x = 7x.
This leads us to a simplified equation:
7x + 5 = 0.
Step 2: Isolate the variable x
Next, we need to isolate x. This involves moving the constant term (5) to the other side of the equation. We do this by subtracting 5 from both sides:
7x + 5 - 5 = 0 - 5
Simplifying this gives:
7x = -5.
Step 3: Solve for x
Now we will divide both sides by 7 to solve for x:
x = -5/7.
Thus, the solution to the equation 3x + 4x + 5 = 0 is:
x = -5/7.
This solution indicates the value of x that satisfies the original equation.