Ask AI: 3x + 1 = -2x + 36

Question

3x + 1 = -2x + 36

gpt-4o · Accepted Answer

To solve the equation $3x + 1 = -2x + 36$, you want to isolate $x$ by performing the same operations on both sides of the equation.

Here’s a step-by-step solution:

1. First, get all the $x$ terms on one side of the equation. You can do this by adding $2x$ to both sides:

$3x + 1 + 2x = -2x + 2x + 36$

This simplifies to:

$5x + 1 = 36$

2. Next, isolate the $x$ term by subtracting 1 from both sides:

$5x + 1 - 1 = 36 - 1$

Which simplifies to:

$5x = 35$

3. Finally, solve for $x$ by dividing both sides by 5:

$\frac{5x}{5} = \frac{35}{5}$

Simplifying gives:

$x = 7$

So, the solution to the equation is $x = 7$.

gpt-4 · Answer

To solve this equation, you would want to isolate the variable x. Here's how you would do it:

Firstly, combine like terms - you would add 2x to both sides of the equation:

3x + 2x = -2x + 2x + 36
That simplifies to:
5x + 1 = 36

Then, subtract 1 from both sides to completely isolate the x terms:

5x + 1 - 1 = 36 -1
Simplified, that's:
5x = 35

Lastly, divide both sides by 5 to give you x on its own:

5x / 5 = 35 / 5
So, x = 7.

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