Question

5 which of the following best describes the solutions to the equation below? $3x + 8 = 2(x + 4)$ a $x = 0$ b $x = 1$ c there are no solutions d there are infinitely many solutions

Explanation:

Step1: Expand the right - hand side

We use the distributive property \(a(b + c)=ab+ac\). For the equation \(3x + 8=2(x + 4)\), expanding the right - hand side gives \(3x + 8 = 2x+8\).

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

Subtract \(2x\) from each side of the equation \(3x + 8 = 2x + 8\). We get \((3x-2x)+8=(2x - 2x)+8\), which simplifies to \(x + 8=8\).

Step3: Subtract 8 from both sides

Subtract 8 from both sides of the equation \(x + 8=8\). We have \(x+8 - 8=8 - 8\), which simplifies to \(x = 0\).

Answer:

A. \(x = 0\)