Answer
$x=7$
Work Step by Step
Using $a(b+c)=ab+ac$ or the Distributive Property, the given equation, $
2(5x-3)-8x=4-(3-x)
,$ is equivalent to
\begin{align*}
2(5x)+2(-3)-8x&=4-1(3)-1(-x)
\\
10x-6-8x&=4-3+x
\\
(10x-8x)-6&=(4-3)+x
\\
2x-6&=1+x
.\end{align*}
Using the properties of equality, the equation above is equivalent to
\begin{align*}
2x-x&=1+6
\\
x&=7
.\end{align*}
Hence, the solution to the given equation is $
x=7
$.
