x=-5
Explanation
[tex]-x-8=-4x-23[/tex]Step 1
solve for x means we have to find the value for x that makes the equality true, to do that we need to isolate x
then
to isolate x we can apply the addition property of equality,it states that If two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal.
hence
Add 4x in both sides
[tex]\begin{gathered} -x-8=-4x-23 \\ -x-8+4x=-4x-23+4x \\ 3x-8=-23 \end{gathered}[/tex]Now, add 8 in both sides
[tex]\begin{gathered} 3x-8=-23 \\ 3x-8+8=-23+8 \\ 3x=-15 \end{gathered}[/tex]Step 2
now, we have a multiplication ( 3 multiplied by x), to isolate x we can apply the multiplication property,it says when you divide or multiply both sides of an equation by the same quantity, you still have equality
hence
divide both sides by 3
[tex]\begin{gathered} 3x=-15 \\ \frac{3x}{3}=\frac{-15}{3} \\ x=-5 \end{gathered}[/tex]therefore, the answer is
x=-5
I hope this helps you
