Solve for X in the Equation: 35-45=-5x

To solve the given linear equation, perform the following operations:

• Step 1: Simplify the left-hand side of the equation.

The original equation is:

$35 - 45 = -5x$

Simplify the left side:

$35 - 45 = -10$

• Step 2: Substitute the simplified result back into the equation.

We now have:

$-10 = -5x$

• Step 3: Solve for $x$ by dividing both sides by $-5$.

$\frac{-10}{-5} = x$

$x = 2$

Therefore, the solution to the problem is $x = 2$.