The solutions of the equation are x = 15 and x = -20
<h3>How to determine the solutions of the equation?</h3>
The equation is given as:
the absolute value quantity two fifths times x plus 1 end quantity minus 7 equals 0
Rewrite the equation properly as:
|2/5x + 1| - 7 = 0
Add 7 to both sides
|2/5x + 1| = 7
Remove the absolute bracket
2/5x + 1 = 7 and 2/5x + 1 = -7
Subtract 1 from both sides
2/5x = 6 and 2/5x = -8
Solve for x
x = 15 and x = -20
Hence, the solutions of the equation are x = 15 and x = -20
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