Question

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.

Answer 1

The answer is B. Apply the distributive property to get 4x−12=9. You would do 4 times x to get 4x and then 4x3 to get 12. Then apply that information to the equation to get 4x−12=9.

Answer 2

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

`\boxed{\sf{x=(21)/(4)=5.25 }}`

Explanation:

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

Use the distributive property.

Distributive property:

`\Longrightarrow: \sf{A(B+C)=AB+AC}`

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.