Chapter R - Elementary Algebra Review - R.2 Equations, Inequalities, and Problem Solving - R.2 Exercise Set - Page 946: 21

$x=0.28125$

Using the properties of equality, the value of the variable that satisfies the given expression, $ x+0.45=2.6x ,$ is \begin{array}{l}\require{cancel} x-2.6x=-0.45 \\\\ -1.6x=-0.45 \\\\ x=\dfrac{-0.45}{-1.6} \\\\ x=0.28125 .\end{array}