Question

2(x + 11) = 9(x - 3) *

Explanation:

Step1: Expand both sides

Using the distributive property \(a(b + c)=ab+ac\), we expand the left side \(2(x + 11)\) to get \(2x+22\) and the right side \(9(x - 3)\) to get \(9x-27\). So the equation becomes \(2x + 22=9x-27\).

Step2: Move variable terms to one side

Subtract \(2x\) from both sides to get \(22 = 9x-2x-27\), which simplifies to \(22 = 7x-27\).

Step3: Move constant terms to the other side

Add \(27\) to both sides: \(22 + 27=7x\), so \(49 = 7x\).

Step4: Solve for x

Divide both sides by \(7\): \(x=\frac{49}{7}=7\).

Answer:

\(x = 7\)