College

Select the correct answer.

Create and solve a linear equation that represents the model, where circles and a square are shown evenly balanced on a balance beam.

A. [tex]x + 7 = 12 ; x = 5[/tex]

B. [tex]x + 7 = 5 ; x = -2[/tex]

C. [tex]x + 5 = 7 ; x = 2[/tex]

D. [tex]x = 5 + 7 ; x = 12[/tex]

Answer :

We start with the equation
[tex]$$
x + 7 = 12.
$$[/tex]

To solve for [tex]$x$[/tex], subtract [tex]$7$[/tex] from both sides:
[tex]$$
x + 7 - 7 = 12 - 7.
$$[/tex]

This simplifies to:
[tex]$$
x = 5.
$$[/tex]

Thus, the value of [tex]$x$[/tex] is [tex]$5$[/tex].

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