Question

|-2x +7| = 25 Find the values for x 12 and 8 12 and 8 6 and 18 6 and 18 -9 and 16 -9 and 16 - 7 and 12

Answer 1

x = -9 and 16

Explanation:

1. Separate in two cases:

(a) -2x + 7 = 25 and (b) -2x + 7 = -25

(a) -2x + 7 = 25 ⇒ subtract 7 from both sides

-2x = 18 ⇒ divide both sides by -2

x = -9

(b) -2x + 7 = -25 ⇒ subtract 7 to both sides

-2x = -32 ⇒ divide both sides by -2

x = 16

Solutions: x = -9, 16

Hope this helps!