To solve the given equation, we will simplify each side separately and then combine like terms.
Starting with the left side of the equation:
(5x - 3) + (7x - 4)
Applying the parentheses, we can simplify the expression inside each set of parentheses:
5x - 3 + 7x - 4
Now we combine like terms:
12x - 7
Now, moving on to the right side of the equation:
8 - (15 - 11x)
We can simplify the expression inside the parentheses:
8 - 15 + 11x
Combine like terms:
-7 + 11x
Now, the given equation becomes:
12x - 7 = -7 + 11x
To solve for x, we move all x terms to one side and all constant terms to the other side.
Subtracting 11x from both sides:
12x - 11x - 7 = -7 - 11x + 11x
Simplifying:
x - 7 = -7
Adding 7 to both sides:
x - 7 + 7 = -7 + 7
Simplifying:
x = 0
Therefore, the solution to the given equation is x = 0.
