Question

solve for x.
2(x + 6) = 4x
x = ?

Explanation:

Step1: Distribute the 2

Using the distributive property \(a(b + c)=ab+ac\), we have \(2(x + 6)=2x+12\). So the equation becomes \(2x + 12 = 4x\).

Step2: Subtract \(2x\) from both sides

Subtracting \(2x\) from both sides of the equation \(2x + 12 = 4x\) gives \(2x+12-2x=4x - 2x\), which simplifies to \(12 = 2x\).

Step3: Divide both sides by 2

Dividing both sides of the equation \(12 = 2x\) by 2, we get \(\frac{12}{2}=\frac{2x}{2}\), so \(x = 6\).

Answer:

\(x = 6\)