x + 3 = 3(11 – 3x)
To solve the equation x + 3 = 3(11 – 3x), we will first simplify both sides of the equation
To solve the equation x + 3 = 3(11 – 3x), we will first simplify both sides of the equation.
Starting with the left-hand side (LHS), we have x + 3. There is nothing we can simplify here, so it remains as is.
Moving on to the right-hand side (RHS), we have 3(11 – 3x). To simplify this, we need to distribute the 3 to both terms inside the parentheses. This gives us:
3 * 11 – 3 * 3x
Simplifying further, we get:
33 – 9x
Therefore, the equation x + 3 = 3(11 – 3x) simplifies to:
x + 3 = 33 – 9x
Now we can solve for x. First, let’s get all the terms containing x on one side of the equation by adding 9x to both sides:
x + 3 + 9x = 33 – 9x + 9x
Combining like terms, we have:
10x + 3 = 33
Next, let’s isolate the term containing x by subtracting 3 from both sides:
10x + 3 – 3 = 33 – 3
Simplifying, we get:
10x = 30
Dividing both sides by 10, we find:
x = 3
So the solution to the equation x + 3 = 3(11 – 3x) is x = 3.
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