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

$x=10$
By combining like terms and using the properties of equality, the solution to the given equation, $5-2x=3x-7x+25$, is \begin{array}{l} -2x-3x+7x=25-5 \\\\ 2x=20 \\\\ x=\dfrac{20}{2} \\\\ x=10 .\end{array} CHECKING: \begin{array}{l} 5-2(10)=3(10)-7(10)+25 \\\\ 5-20=30-70+25 \\\\ -15=-15 \text{ (TRUE)} .\end{array} Hence, the solution is $x=10$.