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

The answer to |6-7x|=6 is x=0\lor x= 12/7

Solve for x: |6-7x|=6

The solution is x=0\lor x= 12/7

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∣ 6 - 7 x ∣ = 6

x = 0 or x = \frac{12}{7}

Decimal Notation

x = 0, x = 1.71428 \dots

Solution steps

∣ 6 - 7 x ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = 0 or x = \frac{12}{7}

∣ a - 7 + 6 a ∣ - 6 = 22

∣ - 10 x ∣ + 5 = 65

∣ 6 x + 7 ∣ = 5 x + 2

3 ∣ 6 x + 12 ∣ + 12 = 40

∣ x - 3 ∣ - 4 = 0