What is the answer to |2-3x|=7 ?

The answer to |2-3x|=7 is x=-5/3 \lor x=3

Solve for x: |2-3x|=7

The solution is x=-5/3 \lor x=3

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∣ 2 - 3 x ∣ = 7

x = - \frac{5}{3} or x = 3

Decimal Notation

x = - 1.66666 \dots, x = 3

Solution steps

∣ 2 - 3 x ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 - 3 x = - 7 or 2 - 3 x = 7

2 - 3 x = - 7 or 2 - 3 x = 7

x = - \frac{5}{3} or x = 3

∣ 20 - 5 x ∣ - 4 = 21

2 ∣ 3 x - 4 ∣ = - 2

2 + 9 ∣ 6 x - 6 ∣ = 47

∣ - 8 + x ∣ = 15

∣ 4 x + 5 ∣ = - 25