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What value of $x$ is a solution to this equation? $\newline$ $x + 17 = 26$ $\newline$ Choices: $\newline$ (A) $x = 8$ $\newline$ (B) $x = 9$

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Which x satisfies an equation?

Full solution

Q. What value of

x

is a solution to this equation?

\newline

x + 17 = 26

\newline

Choices:

\newline

(A)

x = 8

\newline

(B)

x = 9

Identify Operation: Identify the operation needed to isolate the variable $x$ . The equation is $x + 17 = 26$ . To find the value of $x$ , we need to isolate $x$ on one side of the equation. This means we need to subtract $17$ from both sides of the equation to cancel out the $+17$ on the left side.
Subtract $17$ : Subtract $17$ from both sides of the equation. $\newline$ $x + 17 - 17 = 26 - 17$ $\newline$ This simplifies to: $\newline$ $x = 26 - 17$
Perform Subtraction: Perform the subtraction to find the value of $x$ . $x = 9$
Check Solution: Check the solution by substituting the value of $x$ back into the original equation. $9 + 17 = 26$ $26 = 26$ This is true, so $x = 9$ is the correct solution.

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