What is the answer to |-3x+7|=5 ?

The answer to |-3x+7|=5 is x= 2/3 \lor x=4

Solve for x: |-3x+7|=5

The solution is x= 2/3 \lor x=4

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∣ - 3 x + 7 ∣ = 5

x = \frac{2}{3} or x = 4

Decimal

x = 0.66666 \dots, x = 4

Solution steps

∣ - 3 x + 7 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 3 x + 7 = - 5 or - 3 x + 7 = 5

- 3 x + 7 = - 5 or - 3 x + 7 = 5

x = \frac{2}{3} or x = 4

y, y + 2 = ∣ x ∣

∣ 2 x - 1 ∣ = x - 2

∣ - 5 g + 1 ∣ - 5 = 11

18 = 9 ∣ - 4 x - 1 ∣

∣ x + 3 ∣ = 6 - 2 x