How do you solve 2(x - 3) = 10?

To solve 2(x - 3) = 10, first divide by 2, then add 3 to both sides.

To solve the equation 2(x - 3) = 10, you need to isolate the variable \( x \). Start by dividing both sides of the equation by 2 to simplify it. This gives you:

\[ x - 3 = \frac{10}{2} \]

\[ x - 3 = 5 \]

Next, you need to get \( x \) by itself. To do this, add 3 to both sides of the equation:

\[ x - 3 + 3 = 5 + 3 \]

\[ x = 8 \]

So, the solution to the equation is \( x = 8 \). This means that if you substitute 8 back into the original equation, it should satisfy the equation:

\[ 2(8 - 3) = 10 \]

\[ 2 \times 5 = 10 \]

\[ 10 = 10 \]

This confirms that our solution is correct. By following these steps, you can solve similar linear equations by isolating the variable through basic arithmetic operations.

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