(3 - 2x)+(4 -3x)+(5 - 5x)=12+7x

Let's solve the equation step by step.

Given:

\[ (3 - 2x) + (4 - 3x) + (5 - 5x) = 12 + 7x \]

First, we will simplify the left side. Combine the constant terms and the x terms:

1. Combine the constants: \(3 + 4 + 5 = 12\)
2. Combine the x terms: \(-2x - 3x - 5x = -10x\)

So, the left side becomes:

\[ 12 - 10x \]

Now, rewrite the equation with the simplified left side:

\[ 12 - 10x = 12 + 7x \]

Next, we will eliminate \(12\) from both sides:

\[ -10x = 7x \]

Now, we want to get all \(x\) terms on one side. Adding \(10x\) to both sides gives:

\[ 0 = 7x + 10x \]

This simplifies to:

\[ 0 = 17x \]

To solve for \(x\), divide both sides by \(17\):

\[ x = 0 \]

So, the solution to the equation is:

\[ \boxed{0} \]