The absolute value of (three x plus five) equals twelve x plus 8.

What is being asked in the problem and what does that mean? What plan am I going to try?

The problem is asking to find the value of x that satisfies the equation involving absolute value. The equation states that the absolute value of (three x plus five) is equal to twelve x plus 8.

To solve this equation, one possible approach is to consider two cases: when the expression inside the absolute value is positive and when it is negative. By doing so, it is possible to eliminate the absolute value and solve the resulting equations separately.