Step-by-Step Equation Solving: Simplification and Isolation of Variable x

3x = 2 (7 + 5x)

To solve this equation, we need to simplify both sides and then isolate the variable x

To solve this equation, we need to simplify both sides and then isolate the variable x.

First, let’s simplify the equation step by step:

3x = 2 (7 + 5x)

First, distribute the 2 to both terms inside the parentheses:

3x = 2 * 7 + 2 * 5x

Simplify:

3x = 14 + 10x

Now, let’s isolate the variable x. Move the 10x term to the left side by subtracting 10x from both sides:

3x – 10x = 14

-7x = 14

Next, divide both sides by -7 to solve for x:

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

x = -2

So the value of x that satisfies the equation is -2.

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