3. Write all natural numbers $x$ for which the value of the expression $6(x-1)-2(3x+2(x-1))$ is greater than the value of the expression $5(x+1)-3x-57$.


3. Let's write the inequality $6(x-1)-2(3x+2(x-1))>5(x+1)-3x-57$. We remove the parentheses on both sides of the inequality. We get $6x-6-10x+4>2x-52$. We calculate $-6x>-50$ or $x5(x+1)-3x-57 \ldots \ldots \ldots \ldots \ldots .1$ point

Simplifying the inequality on both sides $6x-6-10x+4>2x-52 \ldots \ldots .1^{*}+1^{*}$ point

![](https://cdn.mathpix.com/cropped/2024_06_07_97c791425a4f6cf5fca5g-07.jpg?height=51&width=1625&top_left_y=971&top_left_x=210)

![](https://cdn.mathpix.com/cropped/2024_06_07_97c791425a4f6cf5fca5g-07.jpg?height=54&width=1627&top_left_y=1024&top_left_x=206)

![](https://cdn.mathpix.com/cropped/2024_06_07_97c791425a4f6cf5fca5g-07.jpg?height=60&width=1625&top_left_y=1072&top_left_x=210)

Writing natural numbers: $1,2,3,4,5,6,7$ and $8 \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots$ point