Step 1 :The given equation is $6 - 3x = 5x - 10x + 10$
Step 2 :Combine like terms on the right side of the equation to get $6 - 3x = -5x + 10$
Step 3 :Add $5x$ to both sides of the equation to get $6 + 2x = 10$
Step 4 :Subtract $6$ from both sides of the equation to solve for $x$
Step 5 :The value of $x$ that satisfies the equation $6 - 3x = -5x + 10$ is 2
Step 6 :Final Answer: The value of $x$ is \( \boxed{2} \)