Let's solve the equation step by step.
The equation is:
\[ 4x + 5 - (6x + 7) = 15 \]
First, distribute the negative sign across the terms in the parentheses:
\[ 4x + 5 - 6x - 7 = 15 \]
Now, combine like terms on the left side:
\[ (4x - 6x) + (5 - 7) = 15 \]
This simplifies to:
\[ -2x - 2 = 15 \]
Next, add 2 to both sides to isolate the term with \( x \):
\[ -2x = 15 + 2 \]
\[ -2x = 17 \]
Now, divide both sides by -2:
\[ x = \frac{17}{-2} \]
So,
\[ x = -\frac{17}{2} \]
Or, in decimal form:
\[ x = -8.5 \]
Thus, the solution to the equation is:
\[ x = -\frac{17}{2} \] or \( x = -8.5 \).