2x-(6x-5)=45

Let's solve the equation step by step:

Given the equation:

\[ 2x - (6x - 5) = 45 \]

First, distribute the negative sign inside the parentheses:

\[ 2x - 6x + 5 = 45 \]

Now, combine like terms:

\[ (2x - 6x) + 5 = 45 \] \[ -4x + 5 = 45 \]

Next, isolate the term with \( x \) by subtracting 5 from both sides:

\[ -4x = 45 - 5 \] \[ -4x = 40 \]

Now, divide both sides by -4 to solve for \( x \):

\[ x = \frac{40}{-4} \] \[ x = -10 \]

So, the solution is:

\[ x = -10 \]