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Distributive property
[tex]\[
\begin{array}{l}
7(x-3) = 28 \\
7x - 21 = 28 \\
7x = 49
\end{array}
\][/tex]

Addition property of equality
Division property of equality
[tex]\[
x =
\][/tex]

What is the value of [tex]\( x \)[/tex]?

A. 7
B. 9
C. 42
D. 56

Sagot :

GinnyAnsweridn
Certainly! Let's walk through the solution step-by-step.

Given the equation:
[tex]\[ 7(x - 3) = 28 \][/tex]

First, we use the distributive property to expand the equation:
[tex]\[ 7x - 21 = 28 \][/tex]

Next, we apply the addition property of equality, which means we add the same number to both sides of the equation to keep it balanced. Here, we'll add 21 to both sides:
[tex]\[ 7x - 21 + 21 = 28 + 21 \][/tex]
[tex]\[ 7x = 49 \][/tex]

Now, we use the division property of equality. We divide both sides of the equation by 7 to isolate [tex]\( x \)[/tex]:
[tex]\[ 7x / 7 = 49 / 7 \][/tex]
[tex]\[ x = 7 \][/tex]

Thus, the value of [tex]\( x \)[/tex] is:
[tex]\[ \boxed{7} \][/tex]

Among the given choices:
- 7
- 9
- 42
- 56

The correct answer is [tex]\( 7 \)[/tex].
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