Answer
$x=-15$
Work Step by Step
By combining like terms and using the properties of equality, the solution to the given equation, $
10-3x=x-2x+40
$, is
\begin{array}{l}
-3x-x+2x=40-10
\\\\
-2x=30
\\\\
x=\dfrac{30}{-2}
\\\\
x=-15
.\end{array}
CHECKING:
\begin{array}{l}
10-3(-15)=(-15)-2(-15)+40
\\\\
10+45=-15+30+40
\\\\
55=55
\text{ (TRUE)}
.\end{array}
Hence, the solution is $
x=-15
$.
