Question

|3x-2|+3|=7 garoyafa

Answer 1

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Answer 2

To solve the equation $|3x - 2| + 3 = 7$, you can follow these steps:

1. Isolate the Absolute Value: Subtract 3 from both sides: $|3x - 2| = 4$

2. Split into Two Cases: Solve for both the positive and negative cases of $3x - 2$:

   Case 1: $3x - 2 = 4$ $3x = 6$ $x = 2$

   Case 2: $-(3x - 2) = 4$ $-3x + 2 = 4$ $-3x = 2$ $x = -\frac{2}{3}$

Therefore, the solutions are $x = 2$ and $x = -\frac{2}{3}$.