High School

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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 [/tex]; [tex] x = 2 [/tex]
B. [tex] x + 7 = 5 [/tex]; [tex] x = -2 [/tex]
C. [tex] x = 5 + 7 [/tex]; [tex] x = 12 [/tex]
D. [tex] x + 7 = 12 [/tex]; [tex] x = 5 [/tex]

Answer :

Certainly! Let's solve the problem step-by-step.

We are given a linear equation where we need to find the value of [tex]\( x \)[/tex].

The equation given is:

[tex]\[ x + 7 = 12 \][/tex]

To solve for [tex]\( x \)[/tex], we need to isolate it on one side of the equation. We can do this by performing the same operation on both sides of the equation, which in this case will be subtracting 7.

Here's how it works:

1. Start with the equation:
[tex]\( x + 7 = 12 \)[/tex]

2. Subtract 7 from both sides to isolate [tex]\( x \)[/tex]:
[tex]\( x + 7 - 7 = 12 - 7 \)[/tex]

3. Simplify both sides:
[tex]\( x = 5 \)[/tex]

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

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Rewritten by : Barada