Answer:
x = 8
Explanation:
To solve the equation 3(x + 6) = 2(x - 3) + 4x, we can start by simplifying both sides of the equation.
First, distribute the 3 and 2 to the terms inside the parentheses:
3(x + 6) becomes 3x + 18,
and
2(x - 3) becomes 2x - 6.
Now we have the equation: 3x + 18 = 2x - 6 + 4x.
Next, combine like terms on both sides of the equation:
On the left side, we have 3x + 18.
On the right side, we have 2x - 6 + 4x, which simplifies to 6x - 6.
The equation now becomes: 3x + 18 = 6x - 6.
To isolate the variable x, we need to move all the terms with x to one side of the equation.
Let's start by subtracting 3x from both sides:
3x + 18 - 3x = 6x - 6 - 3x.
This simplifies to: 18 = 3x - 6.
Next, add 6 to both sides:
18 + 6 = 3x - 6 + 6.
This simplifies to: 24 = 3x.
Finally, divide both sides by 3:
24/3 = 3x/3.
This simplifies to: 8 = x.