Solving the equation 3x = 2(21 + 5x): Step-by-step guide and solution

3x = 2(21 + 5x)

To solve the equation 3x = 2(21 + 5x), we’ll start by simplifying both sides of the equation

To solve the equation 3x = 2(21 + 5x), we’ll start by simplifying both sides of the equation.

Let’s distribute the 2 to the terms inside the parentheses:

3x = 2*21 + 2*5x

Now, simplify the right side:

3x = 42 + 10x

Next, let’s isolate the variable terms on one side of the equation. We can do this by subtracting 10x from both sides:

3x – 10x = 42 + 10x – 10x

-7x = 42

To solve for x, we’ll divide both sides of the equation by -7:

(-7x)/(-7) = 42/(-7)

Simplifying:

x = -6

Therefore, the solution to the equation 3x = 2(21 + 5x) is x = -6.

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