Answer
The last step is wrong.
There is no solution.
Work Step by Step
The given inequality is
$\Rightarrow -2(1-x)\leq 2x-7$
Use distributive property.
$\Rightarrow -2+2x\leq 2x-7$
Subtract $2x$ from each side.
$\Rightarrow -2+2x-2x\leq 2x-7-2x$
Simplify.
$\Rightarrow -2\leq -7$
The inequality is false.
Hence, the last step is wrong. There is no solution.
