Step by Step Guide: Solving the Equation 3x = 2(7 + 5x) and Finding the Solution

3x = 2 (7 + 5x)

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

To solve the equation 3x = 2(7 + 5x), you need to isolate the variable x. Here’s how you can do it step by step:

1. Distribute the 2 to the terms inside the parentheses:
3x = 14 + 10x

2. Rearrange the equation by moving the variable terms to one side and the constant terms to the other side:
3x – 10x = 14

3. Combine like terms:
-7x = 14

4. Divide both sides of the equation by -7 to isolate x:
(-7x) / -7 = 14 / -7

5. Simplify:
x = -2

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

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