Question

1. |4x - 6|+22 = 18

Explanation:

Step1: Isolate the absolute - value term

Subtract 22 from both sides of the equation $|4x - 6|+22 = 18$.
$|4x - 6|=18 - 22$
$|4x - 6|=-4$

Step2: Analyze the result

Since the absolute - value of any real number is non - negative (i.e., $|a|\geq0$ for all real numbers $a$), and we have $|4x - 6|=-4$ where $-4\lt0$.
There is no real number $x$ that satisfies this equation.

Answer:

No solution