Question

solve the equation.
|4x - 6| = 22
use a comma to separate solutions, as needed. enter each solution as an integer or reduced fraction.
decimal answers will not be accepted. if there is no solution, type dne in the answer box.
x =
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Explanation:

Step1: Split absolute value equation

$4x - 6 = 22$ or $4x - 6 = -22$

Step2: Solve first linear equation

Add 6 to both sides: $4x = 22 + 6 = 28$
Divide by 4: $x = \frac{28}{4} = 7$

Step3: Solve second linear equation

Add 6 to both sides: $4x = -22 + 6 = -16$
Divide by 4: $x = \frac{-16}{4} = -4$

Answer:

$7, -4$