What is the answer to |7-5x|=7 ?

The answer to |7-5x|=7 is x=0\lor x= 14/5

Solve for x: |7-5x|=7

The solution is x=0\lor x= 14/5

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∣ 7 - 5 x ∣ = 7

x = 0 or x = \frac{14}{5}

Decimal Notation

x = 0, x = 2.8

Solution steps

∣ 7 - 5 x ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

7 - 5 x = - 7 or 7 - 5 x = 7

7 - 5 x = - 7 or 7 - 5 x = 7

x = 0 or x = \frac{14}{5}

∣ x ∣ - 7 = 2

∣ x ∣ = \frac{1}{2}

∣ - 3 x - 8 ∣ = 10

∣ 2 b - 5 ∣ = 7

∣ 3 m - 2 ∣ = 2 m - 3