Question

$3-|8x-6|=3$

Explanation:

Step1: Isolate the absolute value term

Subtract 3 from both sides.
$3 - |8x - 6| - 3 = 3 - 3$
$-|8x - 6| = 0$
Multiply both sides by -1:
$|8x - 6| = 0$

Step2: Solve for x

An absolute value equals 0 only when the expression inside is 0.
$8x - 6 = 0$

Step3: Solve linear equation

Add 6 to both sides, then divide by 8.
$8x = 6$
$x = \frac{6}{8} = \frac{3}{4}$

Answer:

$x = \frac{3}{4}$