What is the answer to |6x+7|+2=3 ?

The answer to |6x+7|+2=3 is x=-4/3 \lor x=-1

Solve for x: |6x+7|+2=3

The solution is x=-4/3 \lor x=-1

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∣ 6 x + 7 ∣ + 2 = 3

x = - \frac{4}{3} or x = - 1

Decimal Notation

x = - 1.33333 \dots, x = - 1

Solution steps

∣ 6 x + 7 ∣ + 2 = 3

Move

2

to the right side

∣ 6 x + 7 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

6 x + 7 = - 1 or 6 x + 7 = 1

6 x + 7 = - 1 or 6 x + 7 = 1

x = - \frac{4}{3} or x = - 1

∣ 3 x + 3 ∣ = 2

- ∣ x ∣ + 1 = 0

∣ 1 - x ∣ = 5 x

∣ 4 x - 15 ∣ + 1 = 18

- 4 = - ∣ x - 8 ∣ + 5