(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: \[ \boxed{0} \]