Answered

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Which value of [tex]\( x \)[/tex] makes the following equation true?

[tex]\[ 2(x + 8) = x + 20 \][/tex]

A. -4
B. 12
C. 20
D. 4

Sagot :

GinnyAnswer
To find the value of [tex]\( x \)[/tex] that makes the equation [tex]\( 2(x + 8) = x + 20 \)[/tex] true, we can solve the equation step-by-step.

1. Distribute the 2 on the left-hand side:

[tex]\[ 2(x + 8) = x + 20 \][/tex]

This becomes:

[tex]\[ 2x + 16 = x + 20 \][/tex]

2. Move all terms involving [tex]\( x \)[/tex] to one side of the equation. Subtract [tex]\( x \)[/tex] from both sides:

[tex]\[ 2x + 16 - x = x + 20 - x \][/tex]

Simplifying this, we get:

[tex]\[ x + 16 = 20 \][/tex]

3. Isolate [tex]\( x \)[/tex] by subtracting 16 from both sides:

[tex]\[ x + 16 - 16 = 20 - 16 \][/tex]

Simplifying this, we find:

[tex]\[ x = 4 \][/tex]

Thus, the value of [tex]\( x \)[/tex] that makes the equation [tex]\( 2(x + 8) = x + 20 \)[/tex] true is [tex]\( \boxed{4} \)[/tex]. Therefore, the correct option is:

D. 4
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