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What is the solution to this equation?

[tex]3x = 156[/tex]

A. [tex]x = 468[/tex]
B. [tex]x = 52[/tex]
C. [tex]x = 42[/tex]
D. [tex]x = 153[/tex]

Sagot :

GinnyAnswer
To solve the equation [tex]\( 3x = 156 \)[/tex], follow these steps:

1. Identify the equation: We start with the equation [tex]\( 3x = 156 \)[/tex].

2. Isolate [tex]\( x \)[/tex]: To isolate [tex]\( x \)[/tex], we need to get rid of the coefficient 3 that is multiplying [tex]\( x \)[/tex]. We do this by performing the inverse operation, which is division.

3. Divide both sides of the equation by 3:
[tex]\[ \frac{3x}{3} = \frac{156}{3} \][/tex]

4. Simplification:
[tex]\[ x = \frac{156}{3} \][/tex]

5. Compute the division: When you divide 156 by 3, you get:
[tex]\[ x = 52 \][/tex]

Thus, the solution to the equation [tex]\( 3x = 156 \)[/tex] is [tex]\( x = 52 \)[/tex].

So, the correct answer is B. [tex]\( x = 52 \)[/tex].
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