How to Solve the Equation 3x = 2 (7 + 5x) and Find the Solution x = -2

3x = 2 (7 + 5x)

To solve the given equation 3x = 2 (7 + 5x), we need to isolate the variable x

To solve the given equation 3x = 2 (7 + 5x), we need to isolate the variable x.

First, let’s simplify the right side of the equation by distributing the 2:

3x = 2(7) + 2(5x)

Now, multiply the numbers inside the parentheses:

3x = 14 + 10x

Next, we can rearrange the equation by bringing the variables to one side and the constants to the other side:

3x – 10x = 14

Now, combine like terms:

-7x = 14

To solve for x, we need to isolate the variable by dividing both sides of the equation by -7:

(-7x) / (-7) = 14 / (-7)

This simplifies to:

x = -2

Therefore, the solution to the equation 3x = 2 (7 + 5x) is x = -2.

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