Respuesta :

Sarah06109

Answer:

[tex]\boxed {\boxed {\sf A. \ x=1}}[/tex]

Step-by-step explanation:

We are given the equation:

[tex]3(x+6)=21[/tex]

We want to solve for x, so we must isolate the variable by performing inverse operations to both sides of the equation.

(x+6) is being multiplied by 3. The inverse of multiplication is division. Divide both sides of the equation by 3.

[tex]\frac {3(x+6)}{3}=\frac{21}{3}[/tex]

[tex](x+6)=\frac{21}{3}[/tex]

[tex](x+6)=7[/tex]

Now 6 is being added to x. The inverse operation of addition is subtraction. Subtract 6 from both sides of the equation.

[tex]x+6-6=7-6[/tex]

[tex]x=7-6[/tex]

[tex]x=1[/tex]

We can test our solution by plugging 1 in for x in the original equation.

[tex]3(x+6)=21[/tex]

[tex]3(1+6)=21[/tex]

[tex]3(7)=21\\21=21[/tex]

This checks out (21 is equal to 21) so we know our answer is x=1.

charliethebest2002

Answer:

A. X=1

Step-by-step explanation:

To solve this problem, you have to use the distributive property.

Isolate the x from one side of an equation.

Distributive property:

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

First, divide by 3 from both sides of an equation.

[tex]\dfrac{3(x+6)}{3}=\dfrac{21}{3}[/tex]

Solve.

21÷3=7

Rewrite the problem down.

x+6=7

Then, subtract by 6 from both sides.

[tex]\sf{x+6-6=7-6}[/tex]

Solve.

7-6=1

[tex]\Large\boxed{X=1}[/tex]

The solution is x=1, which is our answer.

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