What is the answer to |7x-8|=48 ?

The answer to |7x-8|=48 is x=-40/7 \lor x=8

Solve for x: |7x-8|=48

The solution is x=-40/7 \lor x=8

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∣ 7 x - 8 ∣ = 48

x = - \frac{40}{7} or x = 8

Decimal Notation

x = - 5.71428 \dots, x = 8

Solution steps

∣ 7 x - 8 ∣ = 48

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

7 x - 8 = - 48 or 7 x - 8 = 48

7 x - 8 = - 48 or 7 x - 8 = 48

x = - \frac{40}{7} or x = 8

∣ 5 - 2 u ∣ = 7

- 2 ∣ 7 - 9 x ∣ + 7 = - 15

5 - 3 ∣ 5 x + 11 ∣ = - 19

4 ∣ 4 - 2 n ∣ - 3 = 93

∣ u - 8 ∣ = - \frac{1}{3}