How to Solve the Equation 5(x + 2) = 3x | Step-by-Step Guide

5 (x + 2) = 3x

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

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

First, we’ll distribute the 5 to both terms inside the parentheses:

5(x + 2) = 5*x + 5*2
= 5x + 10

So now the equation becomes 5x + 10 = 3x.

To isolate the variable x, we want to get all terms with x on one side of the equation and all constant terms on the other side. In this case, we’ll subtract 3x from both sides of the equation:

5x + 10 – 3x = 3x – 3x + 10 – 3x
2x + 10 = 0 + 10
2x + 10 = 10

Now, we subtract 10 from both sides of the equation:

2x + 10 – 10 = 10 – 10
2x = 0

To solve for x, we divide both sides of the equation by 2:

2x/2 = 0/2
x = 0

Therefore, the solution to the equation 5(x + 2) = 3x is x = 0.

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