What is the answer to -10=-|-v-2|+5 ?

The answer to -10=-|-v-2|+5 is v=-17\lor v=13

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-10=-|-v-2|+5

- 10 = - ∣ - v - 2 ∣ + 5

v = - 17 or v = 13

Solution steps

- 10 = - ∣ - v - 2 ∣ + 5

Move

∣ - v - 2 ∣

to the left side

- 10 + ∣ - v - 2 ∣ = 5

Move

10

to the right side

∣ - v - 2 ∣ = 15

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- v - 2 = - 15 or - v - 2 = 15

- v - 2 = - 15 or - v - 2 = 15

v = - 17 or v = 13

9 ∣ 2 x - 3 ∣ + 2 = - 7

∣ - 3 x ∣ = 21

∣ 6 x - 7 ∣ = ∣ 3 + 2 x ∣

∣ x - 7 ∣ = 15

∣ 7 - x ∣ + 2 = 12

What is the answer to -10=-|-v-2|+5 ?
The answer to -10=-|-v-2|+5 is v=-17\lor v=13
Solve for v: -10=-|-v-2|+5
The solution is v=-17\lor v=13