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Which of the following describes the correct process for solving the equation [tex]\( 2x - 6 = 22 \)[/tex] and arrives at the correct solution?

A. Divide both sides by -6, and then add 2. The solution is [tex]\( x = 8 \)[/tex].
B. Add 6 to both sides of the equation, and then divide by 2. The solution is [tex]\( x = 14 \)[/tex].
C. Subtract 6 from both sides of the equation, and then divide by 2. The solution is [tex]\( x = 7 \)[/tex].
D. Add 6 to both sides of the equation, and then divide by 22. The solution is [tex]\( x = -14 \)[/tex].

Sagot :

GinnyAnswer
To solve the given equation [tex]\(2x - 6 = 22\)[/tex], let's follow the steps to isolate [tex]\(x\)[/tex]:

1. Add 6 to both sides of the equation:
[tex]\[ 2x - 6 + 6 = 22 + 6 \][/tex]
This simplifies to:
[tex]\[ 2x = 28 \][/tex]

2. Divide both sides by 2:
[tex]\[ \frac{2x}{2} = \frac{28}{2} \][/tex]
This simplifies to:
[tex]\[ x = 14 \][/tex]

So, the correct solution to the equation [tex]\(2x - 6 = 22\)[/tex] is [tex]\(x = 14\)[/tex].

The correct process to solve the equation and the correct answer is:
- Add 6 to both sides of the equation, and then divide by 2. The solution is [tex]\(x = 14\)[/tex].

Therefore, the correct option is:
- Add 6 to both sides of the equation, and then divide by 2. The solution is [tex]\(x = 14\)[/tex].
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