Question

solve for x.
2(x + 10) = x + 24
a. 4
b. 24
c. 14
d. -6

Explanation:

Step1: Expand the left side

Using the distributive property \(a(b + c)=ab+ac\), we expand \(2(x + 10)\) to get \(2x+20\). So the equation becomes \(2x + 20=x + 24\).

Step2: Subtract \(x\) from both sides

Subtract \(x\) from each side of the equation: \(2x - x+20=x - x + 24\), which simplifies to \(x + 20=24\).

Step3: Subtract 20 from both sides

Subtract 20 from both sides: \(x+20 - 20=24 - 20\), so \(x = 4\).

Answer:

A. 4