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Solve the equation:

[tex]\[ 3x + 2 = 17 \][/tex]

A. [tex]\( x = 5 \)[/tex]
B. [tex]\( x = 12 \)[/tex]
C. [tex]\( x = 3 \)[/tex]
D. [tex]\( x = \frac{19}{3} \)[/tex]


Sagot :

Let's solve the given equation step by step.

The given equation is:
[tex]\[ 3x + 2 = 17 \][/tex]

1. Subtract 2 from both sides to isolate the term containing [tex]\( x \)[/tex]:
[tex]\[ 3x + 2 - 2 = 17 - 2 \][/tex]
This simplifies to:
[tex]\[ 3x = 15 \][/tex]

2. Divide both sides by 3 to solve for [tex]\( x \)[/tex]:
[tex]\[ x = \frac{15}{3} \][/tex]
This simplifies to:
[tex]\[ x = 5 \][/tex]

Therefore, the solution to the equation [tex]\( 3x + 2 = 17 \)[/tex] is [tex]\( x = 5 \)[/tex].

### Answer:

[tex]\( x = 5 \)[/tex]
In order to solve this equation we first need to simplify it into the y=mx+b formula, however, from early on we can see that there is no “y”, but we will still use the same process.

3x + 2 = 17
- 2 - 2

3x = 15
_ _

3 3

x = 5