What is the answer to |3x-4|+2=7 ?

The answer to |3x-4|+2=7 is x=-1/3 \lor x=3

Solve for x: |3x-4|+2=7

The solution is x=-1/3 \lor x=3

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∣ 3 x - 4 ∣ + 2 = 7

x = - \frac{1}{3} or x = 3

Decimal Notation

x = - 0.33333 \dots, x = 3

Solution steps

∣ 3 x - 4 ∣ + 2 = 7

Move

2

to the right side

∣ 3 x - 4 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 4 = - 5 or 3 x - 4 = 5

3 x - 4 = - 5 or 3 x - 4 = 5

x = - \frac{1}{3} or x = 3

5 - 8 ∣ 3 x + 3 ∣ = - 43

∣ 2 x - 4 ∣ = x - 1

- 9 ∣ - 2 - 5 n ∣ = - 108

\frac{1}{4} x - 4 = - 4

- 8 ∣ 5 m - 9 ∣ - 6 = - 94