What is the answer to |6x-7|+3=12 ?

The answer to |6x-7|+3=12 is x=-1/3 \lor x= 8/3

Solve for x: |6x-7|+3=12

The solution is x=-1/3 \lor x= 8/3

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∣ 6 x - 7 ∣ + 3 = 12

x = - \frac{1}{3} or x = \frac{8}{3}

Decimal Notation

x = - 0.33333 \dots, x = 2.66666 \dots

Solution steps

∣ 6 x - 7 ∣ + 3 = 12

Move

3

to the right side

∣ 6 x - 7 ∣ = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

6 x - 7 = - 9 or 6 x - 7 = 9

6 x - 7 = - 9 or 6 x - 7 = 9

x = - \frac{1}{3} or x = \frac{8}{3}

- 2 ∣ x + 5 ∣ + 3 x = - 22

∣ 6 x - 12 ∣ = 18

5 ∣ 4 x ∣ = - 100

3 ∣ 2 x - 4 ∣ = 24

∣ 5 + x ∣ = 13

What is the answer to |6x-7|+3=12 ?
The answer to |6x-7|+3=12 is x=-1/3 \lor x= 8/3
Solve for x: |6x-7|+3=12
The solution is x=-1/3 \lor x= 8/3