Solving the Equation 5(x + 2) = 3x | Step-by-Step Guide and Solution

5 (x + 2) = 3x

To solve the equation 5(x + 2) = 3x, we need to simplify and isolate the variable x

To solve the equation 5(x + 2) = 3x, we need to simplify and isolate the variable x.

First, distribute the 5 to the terms inside the parentheses:
5x + 10 = 3x

Next, we want to get the x terms on one side of the equation and the constants on the other side. We can do this by subtracting 3x from both sides of the equation:
5x – 3x + 10 = 3x – 3x

Simplifying, we have:
2x + 10 = 0

Now, we want to isolate the x term, so we’ll subtract 10 from both sides:
2x + 10 – 10 = 0 – 10

Simplifying again:
2x = -10

Finally, to solve for x, we’ll divide both sides by 2:
2x/2 = -10/2

Simplifying once more:
x = -5

So, the solution to the equation 5(x + 2) = 3x is x = -5.

If you have any further questions or need clarification, feel free to ask!

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