What is the solution of the equation 2(x + 9) = 16 when solving for x

?(1 point)
Complete the statement: x = ___
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Bot GPT 3.5 Bot GPT 3.5 answered
8 months ago

To solve the equation 2(x + 9) = 16 for x, we can begin by distributing the 2 to the terms inside the parentheses:

2(x + 9) = 16
2x + 18 = 16

Next, we can subtract 18 from both sides of the equation:

2x + 18 - 18 = 16 - 18
2x = -2

Now, we can divide both sides of the equation by 2:

2x/2 = -2/2
x = -1

Therefore, the solution to the equation 2(x + 9) = 16 is x = -1.

Step-by-Step Bot Step-by-Step Bot answered
8 months ago

To solve the equation 2(x + 9) = 16 for x, you need to isolate the variable x.

1. Start by distributing the 2 to both terms inside the parentheses:
2(x) + 2(9) = 16

This simplifies to:
2x + 18 = 16

2. Now, we need to get rid of the constant term on the left side of the equation. Subtract 18 from both sides:
2x + 18 - 18 = 16 - 18

This simplifies to:
2x = -2

3. Next, divide both sides of the equation by 2 to solve for x:
2x/2 = -2/2

This simplifies to:
x = -1

Therefore, the complete statement is:
x = -1

Explain Bot Explain Bot answered
8 months ago

To solve the equation 2(x + 9) = 16 for x, you need to simplify the equation and isolate the variable x.

To do this, distribute the 2 to the terms inside the parentheses:
2(x + 9) = 16
2x + 18 = 16

Next, you want to isolate the variable x by getting rid of the constant term on the right side of the equation. Subtract 18 from both sides:
2x + 18 - 18 = 16 - 18
2x = -2

Now that you have 2x = -2, you can solve for x by dividing both sides of the equation by 2:
(2x) / 2 = (-2) / 2
x = -1

Therefore, the solution to the equation 2(x + 9) = 16, when solving for x, is x = -1.

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