To solve the equation 3x + 10 + x + 4 – x + 12 – 2x – 5 + 6 – 18 = 0, we first need to simplify it. Let’s start by combining like terms.
The equation consists of the variable x and constant numbers. Let’s group the terms:
- Combine the x terms: 3x + x – x – 2x
- The resulting x terms will be: (3 + 1 – 1 – 2)x = 1x or simply x.
Now, let’s combine the constant terms:
- 10 + 4 + 12 – 5 + 6 – 18
- This gives: 10 + 4 = 14
- 14 + 12 = 26
- 26 – 5 = 21
- 21 + 6 = 27
- 27 – 18 = 9
So the constant part sums to 9. Now we rewrite the equation as:
x + 9 = 0
Next, to solve for x, we simply isolate x by subtracting 9 from both sides:
x = -9
Thus, the solution to the equation 3x + 10 + x + 4 – x + 12 – 2x – 5 + 6 – 18 = 0 is:
x = -9
To conclude, we have effectively demonstrated how to simplify and solve the equation step by step.