Solving Equations: Simplifying and isolating the variable x | Step-by-step guide

x + 3 = 3 (11 – 3x)

To solve the equation, we will simplify and combine like terms to isolate the variable x

To solve the equation, we will simplify and combine like terms to isolate the variable x.

First, distribute the 3 to the terms inside the parentheses:
x + 3 = 3(11) – 3(3x)

Simplify further:
x + 3 = 33 – 9x

Next, we will move all terms with x to one side of the equation by adding 9x to both sides:
x + 3 + 9x = 33 – 9x + 9x

Combine like terms:
10x + 3 = 33

Next, we will isolate the term with x by subtracting 3 from both sides:
10x + 3 – 3 = 33 – 3

Simplify further:
10x = 30

To solve for x, divide both sides of the equation by 10:
10x/10 = 30/10

Simplify:
x = 3

Therefore, the solution to the equation x + 3 = 3(11 – 3x) is x = 3.

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