Answer
$x=-1$
Work Step by Step
$7-(2x-1)=10$ $\longrightarrow$ distributive property
$7-2x+1=10$ $\longrightarrow$ combine like terms
$8-2x=10$ $\longrightarrow$ addition property of equality
$8-2x-8=10-8$ $\longrightarrow$ combine like terms
$-2x=2$ $\longrightarrow$ multiplication property of equality
$-2x\div-2=2\div-2$ $\longrightarrow$ simplify
$x=-1$