Lauren31490
Answered

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Solve for [tex]\( x \)[/tex] in the equation:

[tex]\[ x - 76 = 102 \][/tex]

A. [tex]\( x = 26 \)[/tex]

B. [tex]\( x = 34 \)[/tex]

C. [tex]\( x = 36 \)[/tex]

D. [tex]\( x = 178 \)[/tex]

Sagot :

GinnyAnswer
To solve the equation [tex]\(x - 76 = 102\)[/tex], follow these steps:

1. Identify the original equation:
[tex]\[ x - 76 = 102 \][/tex]

2. Isolate the variable [tex]\(x\)[/tex]:
We need to move the constant term on the left side (which is -76) to the right side. To do this, we'll use the inverse operation of subtraction, which is addition. So, we'll add 76 to both sides of the equation to keep it balanced.

[tex]\[ x - 76 + 76 = 102 + 76 \][/tex]

3. Simplify the equation:
The -76 and +76 on the left side cancel each other out, leaving us with:

[tex]\[ x = 102 + 76 \][/tex]

4. Perform the addition:
[tex]\[ x = 178 \][/tex]

Thus, the solution to the equation [tex]\(x - 76 = 102\)[/tex] is:

[tex]\(\boxed{178}\)[/tex]

From the given options, the correct value for [tex]\(x\)[/tex] is [tex]\(178\)[/tex].
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