Find the value of $x$ when $6-3 x=5 x-10 x+10$

The value of $x$ is $\square$.

Answer

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Answer

Final Answer: The value of $x$ is $ \boxed{2} $

Steps

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} $