2=-8-x Equation
x=-10
Explanation
Step 1
the scale is in balance, that indicates that the weights to the right and left are equal
Let
left side=2 squares of 1 each
then
left side=2
Step 2
rigth side=8 times (1) plus -x
rigth side=(8*-1)-x
rigth side=-8-x
Step 3
finally
[tex]\begin{gathered} \text{left side= rigth side} \\ \text{replacing} \\ 2=-8-x\text{ Equation (1)} \end{gathered}[/tex]
Step 4
finally solve equation (1) for x
[tex]\begin{gathered} 2=-8-x \\ \text{add 8 in both sides} \\ 2+8=-8-x+8 \\ 10=-x \\ \text{Multiply each side by -1} \\ 10\cdot-1=-x\cdot-1 \\ -10=x \end{gathered}[/tex]
I hope this helps you
