#### Answer

a conditional equation;
$x=0$

#### Work Step by Step

Using the properties of equality, the given equation, $
x+6(x-1)-(4-x)=-10
,$ is equivalent to
\begin{array}{l}\require{cancel}
x+6x-6-4+x=-10
\\\\
x+6x+x=-10+6+4
\\\\
8x=0
\\\\
x=\dfrac{0}{8}
\\\\
x=0
.\end{array}
Since the solution above ended with a variable being equated to a constant, then the given equation is $\text{
a conditional equation
.}$ The solution is $
x=0
.$