Determine the solutions of the equation:

the absolute value quantity two fifths times x plus 1 end quantity minus 7 equals 0

x = −30 and x = 15
x = −20 and x = 15
x = −20 and x = 20
x = −15 and x = 15

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Respuesta :

The solutions of the equation are x = 15 and x = -20

How to determine the solutions of the equation?

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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