Simplifying and Isolating the Variable x: Step-by-Step Guide to Solve the Equation 3x = 2(21 + 5x) and Find the Solution

3x = 2(21 + 5x)

To solve the equation 3x = 2(21 + 5x), we need to simplify and isolate the variable x

To solve the equation 3x = 2(21 + 5x), we need to simplify and isolate the variable x.

First, distribute the 2 to the terms inside the parentheses:
3x = 42 + 10x

Rearrange the equation to have all x terms on one side and constant terms on the other side:
3x – 10x = 42

Combine like terms:
-7x = 42

To isolate x, divide both sides of the equation by -7:
-7x / -7 = 42 / -7

Simplifying:
x = -6

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

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