Question

Which value of x makes the following equation true?

2(x + 10) = x + 23
A.
3
B.
23
C.
13
D.
-7

Answer 1

• x = 3
• Option A is the correct answer .

Explanation:

In this question we're given with an equation that is 2(x + 10) = x + 23 and we are asked to find the value of x .

Solution : -

`\longmapsto \: 2(x + 10) = x + 23`

Step 1 : Solving the parenthesis on left hand side :

`\longmapsto \:2x + 20 = x + 23`

Step 2 : Subtracting 20 on both sides :

`\longmapsto \:2x + \bold{ \cancel{20}} - \bold{ \cancel{20} }= x + \bold{23 - 20}`

On further calculations , we get :

`\longmapsto \:2x =x + 3`

Step 3 : Subtracting x on both sides :

`\longmapsto \:2x - x = \bold{ \cancel{x} }+ 3 - \bold{ \cancel{x}}`

On further calculations, we get :

`\longmapsto \: \red {\boxed{{x = 3}}}`

• Therefore, value of x is 3 .

Now , we're verifying our answer by substituting the value of x in given equation :

• 2(x + 10) = x + 23

• 2 ( 3 + 10 ) = 3 + 23

• 2 ( 13 ) = 26

• 26 = 26

• L.H.S = R.H.S

• Hence, Verified .

Therefore, our answer is correct.

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Answer 2

`\Longrightarrow:\boxed{\sf{x=3}}`

Explanation:

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

2(x+10)=x+23

Use the distributive property.

Distributive property:

⇒ A(B+C)=AB+AC

2(x+10)

2*x=2x

2*10=20

2x+20=x+23

First, subtract by 20 from both sides.

2x+20-20=x+23-20

Solve.

Subtract the numbers from left to right.

23-20=3

2x=x+3

Then, you subtract by x from both sides.

2x-x=x+3-x

Solve.

`\Longrightarrow: \boxed{\sf{x=3}}`

• Therefore, the correct answer is x=3.