Respuesta :
Considering that the diagram represents an equation, you can say that the sum of the terms on the left part of the diagram is equal to the value on the right side of the diagram so that:
[tex]x+5+x+5+x+5+x+5=32[/tex]To determine the value of x, the first step is to order all like terms together and simplify them, which means to solve the operations between them:
[tex]\begin{gathered} (x+x+x+x)+(5+5+5+5)=32 \\ 4x+20=32 \end{gathered}[/tex]Second, pass 20 to the right side of the equal sign by applying the opposite operation "-20" to both sides of it:
[tex]\begin{gathered} 4x+20-20=32-20 \\ 4x=12 \end{gathered}[/tex]Finally, to cancel the multiplication on the x-term, you have to divide it by 4, and, to keep the equivalency valid, any operation done to one side of the equation should be done to the other side as well. So you have to divide both sides of the equation by 4:
[tex]\begin{gathered} \frac{4x}{4}=\frac{12}{4} \\ x=3 \end{gathered}[/tex]The value of x is 3
