What is the answer to |7x-4|-2=0 ?

The answer to |7x-4|-2=0 is x= 2/7 \lor x= 6/7

Solve for x: |7x-4|-2=0

The solution is x= 2/7 \lor x= 6/7

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∣ 7 x - 4 ∣ - 2 = 0

x = \frac{2}{7} or x = \frac{6}{7}

Decimal

x = 0.28571 \dots, x = 0.85714 \dots

Solution steps

∣ 7 x - 4 ∣ - 2 = 0

Move

2

to the right side

∣ 7 x - 4 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

7 x - 4 = - 2 or 7 x - 4 = 2

7 x - 4 = - 2 or 7 x - 4 = 2

x = \frac{2}{7} or x = \frac{6}{7}

∣ z - 4 ∣ = ∣ z + 9 ∣

4 ∣ 2 y - 3 ∣ - 1 = 11

4 ∣ x - 1 ∣ = 16 x - 32

11 ∣ 4 x ∣ x + 2 ∣ + 3 ∣ = 16

∣ 2 x - 1 ∣ + ∣ x + 2 ∣ = 4

What is the answer to |7x-4|-2=0 ?
The answer to |7x-4|-2=0 is x= 2/7 \lor x= 6/7
Solve for x: |7x-4|-2=0
The solution is x= 2/7 \lor x= 6/7