Question

2x + 6 = 9 - 3(x - 4)
2x + 6 = 9 - 3x + 12
2x + 6 = -3x + 21
+ 3x + 3x
5x + 6 = 21
x = \square

Explanation:

Step1: Subtract 6 from both sides

To isolate the term with \(x\), we subtract 6 from both sides of the equation \(5x + 6 = 21\).
\(5x + 6 - 6 = 21 - 6\)
Simplifying both sides gives \(5x = 15\).

Step2: Divide by 5

To solve for \(x\), we divide both sides of the equation \(5x = 15\) by 5.
\(\frac{5x}{5} = \frac{15}{5}\)
Simplifying both sides gives \(x = 3\).

Answer:

\(x = 3\)