What is the answer to 10=43-|7p+12| ?

The answer to 10=43-|7p+12| is p=-45/7 \lor p=3

Solve for p: 10=43-|7p+12|

The solution is p=-45/7 \lor p=3

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10 = 43 - ∣ 7 p + 12 ∣

p = - \frac{45}{7} or p = 3

Decimal Notation

p = - 6.42857 \dots, p = 3

Solution steps

10 = 43 - ∣ 7 p + 12 ∣

Move

∣ 7 p + 12 ∣

to the left side

10 + ∣ 7 p + 12 ∣ = 43

Move

10

to the right side

∣ 7 p + 12 ∣ = 33

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

7 p + 12 = - 33 or 7 p + 12 = 33

7 p + 12 = - 33 or 7 p + 12 = 33

p = - \frac{45}{7} or p = 3

∣ 9 x + 1 ∣ = 73

6 + 4 ∣ x + 1 ∣ = 6

- 4 - ∣ x - 2 ∣ = - 12

∣ 7 - x ∣ = 15

x^{2} - x = 6

What is the answer to 10=43-|7p+12| ?
The answer to 10=43-|7p+12| is p=-45/7 \lor p=3
Solve for p: 10=43-|7p+12|
The solution is p=-45/7 \lor p=3