## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$x=-4$
Using the properties of equality, the value of the variable that satisfies the given expression, $2x-7=5x+1-x ,$ is \begin{array}{l}\require{cancel} 2x-5x+x=1+7 \\\\ -2x=8 \\\\ x=\dfrac{8}{-2} \\\\ x=-4 .\end{array}