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Which sentence explains the correct first step in the solution of this equation?

4(x−3)=9

Add 2 to both sides.


Apply the distributive property to get 4x−12=9.


Apply the distributive property to get 4x−3=9.


Subtract 9 from both sides.

Sagot :

Charliethebest2002idn

Answer:

B. Apply the distributive property to get 4x-12=9

[tex]\boxed{\sf{x=\dfrac{21}{4}=5.25 }}[/tex]

Step-by-step explanation:

Isolate the term of x from one side of the equation.

Use the distributive property.

Distributive property:

[tex]\Longrightarrow: \sf{A(B+C)=AB+AC}[/tex]

4(x-3)=9

Expand the form multiply.

4*x=4x

4*3=12

Rewrite the problem down.

4x-12=9

Add by 12 from both sides.

4x-12+12=9+12

Solve.

Add the numbers from left to right.

9+12=21

4x=21

Divide by 4 from both sides.

4x/4=21/4

Solve.

Divide the numbers from left to right.

x=21/4

21/4=5.25

x=21/4=5.25

  • Therefore, the final answer is x=21/4=5.25.

I hope this helps you! Let me know if my answer is wrong or not.

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