Ontario Mathematics Proficiency Practice Test

Question: 1 / 400

What is the solution for \( x \) in the equation \( 2(x - 3) = 10 \)?

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8

To solve the equation \( 2(x - 3) = 10 \), the first step is to isolate the term containing \( x \). Start by dividing both sides of the equation by 2:

\[

x - 3 = 5

\]

Next, to find \( x \), add 3 to both sides:

\[

x = 5 + 3

\]

\[

x = 8

\]

Thus, the solution for \( x \) is 8. This means when you substitute 8 back into the original equation, it maintains equality; confirming that the solution is indeed valid.

In context, other answers do not satisfy the equation when substituted back. For example, if you replace \( x \) with 5 or 6 or 3, none of those yield 10 when the equation is processed according to the operations defined. Therefore, 8 is the correct and valid solution.

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