What is the answer to 48=|15-9x| ?

The answer to 48=|15-9x| is x=-11/3 \lor x=7

Solve for x: 48=|15-9x|

The solution is x=-11/3 \lor x=7

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48 = ∣ 15 - 9 x ∣

x = - \frac{11}{3} or x = 7

Decimal Notation

x = - 3.66666 \dots, x = 7

Solution steps

48 = ∣ 15 - 9 x ∣

Switch sides

∣ 15 - 9 x ∣ = 48

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

15 - 9 x = - 48 or 15 - 9 x = 48

15 - 9 x = - 48 or 15 - 9 x = 48

x = - \frac{11}{3} or x = 7

12 = ∣ 3 + 3 x ∣

8 = ∣ 7 + 5 x ∣

4 = ∣ 3 x + 2 ∣

2 ∣ x + 1 ∣ - x = 3 x - 4

∣ 6 - 5 x ∣ - 4 = 2