What is the answer to |10x-8|=38 ?

The answer to |10x-8|=38 is x=-3\lor x= 23/5

Solve for x: |10x-8|=38

The solution is x=-3\lor x= 23/5

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∣ 10 x - 8 ∣ = 38

x = - 3 or x = \frac{23}{5}

Decimal Notation

x = - 3, x = 4.6

Solution steps

∣ 10 x - 8 ∣ = 38

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

10 x - 8 = - 38 or 10 x - 8 = 38

10 x - 8 = - 38 or 10 x - 8 = 38

x = - 3 or x = \frac{23}{5}

\frac{3 x - 9}{2} = 3

∣ 9 b - 6 ∣ - 4 = - 73

∣ 2 x - 7 ∣ = 0

2 ∣ x - 4 ∣ - 3 = - 1

∣ x + 2 ∣ = 4 - 3 x