Answer
No solution
Work Step by Step
Using the properties of equality, the value of the variable that satisfies the given equation, $
-2(x+5)+4=-2x+3
,$ is
\begin{array}{l}\require{cancel}
-2x-10+4=-2x+3
\\\\
-2x+2x=3+10-4
\\\\
0=9
\text{ (FALSE)}
.\end{array}
Since the solution above ended with a FALSE statement, there is no solution.