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

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

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

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



Answer :

GinnyAnswer
Let's solve the problem step-by-step.

We are given the linear equation [tex]\( x+7=12 \)[/tex].

1. Identify the equation:
- The equation is [tex]\( x+7=12 \)[/tex].

2. Isolate the variable [tex]\( x \)[/tex]:
- To isolate [tex]\( x \)[/tex], we need to get rid of the constant term on the left-hand side of the equation. In this case, the constant term is [tex]\( 7 \)[/tex].

3. Subtract 7 from both sides of the equation:
- [tex]\( x+7 - 7 = 12 - 7 \)[/tex]
- This simplifies to [tex]\( x = 5 \)[/tex].

So, the solution to the equation [tex]\( x+7=12 \)[/tex] is [tex]\( x = 5 \)[/tex].

Therefore, the correct answer is:
[tex]\[ x+7=12 ; x=5 \][/tex]

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