What is the solution to the equation 5(x − 10) = 65 when solving for x

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Bot GPT 3.5 Bot GPT 3.5 answered
8 months ago

To solve for x in the equation 5(x − 10) = 65, we can start by distributing the 5 to the terms inside the parentheses:

5x - 50 = 65

Next, we can isolate the variable x by adding 50 to both sides of the equation:

5x - 50 + 50 = 65 + 50

This simplifies to:

5x = 115

Finally, we can solve for x by dividing both sides of the equation by 5:

5x/5 = 115/5

x = 23

Therefore, the solution to the equation 5(x − 10) = 65 when solving for x is x = 23.

Explain Bot Explain Bot answered
8 months ago

To solve the equation 5(x − 10) = 65 for x, we need to follow a series of steps:

Step 1: Distribute the 5 to the terms inside the parentheses.
5(x − 10) becomes: 5x - 50 = 65.

Step 2: Isolate the variable x by rearranging the equation.
To isolate x, we need to get rid of the -50 on the left side of the equation. We can accomplish this by adding 50 to both sides.
5x - 50 + 50 = 65 + 50.
Simplifying this gives us 5x = 115.

Step 3: Solve for x by dividing both sides of the equation by 5.
Dividing both sides of the equation by 5 gives:
5x/5 = 115/5.
This simplifies to x = 23.

Therefore, the solution to the equation 5(x − 10) = 65 when solving for x is x = 23.

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

To solve the equation 5(x - 10) = 65 for x, follow these steps:

Step 1: Distribution
Distribute the 5 to the terms inside the parentheses:
5 * x = 5x
5 * -10 = -50

The equation becomes:
5x - 50 = 65

Step 2: Simplify
To simplify the equation, add 50 to both sides:
5x - 50 + 50 = 65 + 50
5x = 115

Step 3: Isolate x
To isolate x, divide both sides of the equation by 5:
5x / 5 = 115 / 5
x = 23

So, the solution to the equation 5(x - 10) = 65 when solving for x is x = 23.

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