To solve this equation, we'll start by simplifying both sides of the equation step by step.
Step 1: Distribute the 2 on the left side of the equation to the terms inside the parentheses:
2 * 5x = 10x
2 * 6 = 12
So the left side of the equation becomes:
10x + 12 + 2 = -6x + Box x + Box
Step 2: Combine like terms on both sides:
On the left side, we have 10x + 12 + 2.
This simplifies to 10x + 14.
On the right side, we have -6x + Box x + Box.
We can combine the -6x and Box x terms, which gives us -6x + x = -5x.
So the equation becomes:
10x + 14 = -5x + Box x + Box
Step 3: Now, let's isolate the x term on one side of the equation.
To do this, we'll move the -5x term from the right side to the left side by adding 5x to both sides:
10x + 5x + 14 = -5x + 5x + Box x + Box
This simplifies to:
15x + 14 = Box x + Box
Step 4: Finally, isolate the constant term on one side by subtracting 14 from both sides:
15x + 14 - 14 = Box x + Box - 14
The constant term on the left side cancels out, and we are left with:
15x = Box x - 14
Therefore, the solution to the equation is
x = Box/15 - 14/15