What is the answer to |7-4x|=25 ?

The answer to |7-4x|=25 is x=-9/2 \lor x=8

Solve for x: |7-4x|=25

The solution is x=-9/2 \lor x=8

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∣ 7 - 4 x ∣ = 25

x = - \frac{9}{2} or x = 8

Decimal Notation

x = - 4.5, x = 8

Solution steps

∣ 7 - 4 x ∣ = 25

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

7 - 4 x = - 25 or 7 - 4 x = 25

7 - 4 x = - 25 or 7 - 4 x = 25

x = - \frac{9}{2} or x = 8

∣ 20 + x ∣ = 430

∣ - a - 2 ∣ + 9 = 5

∣ 2 x + 7 ∣ = - 12

25 k = ∣ - 9 - 5 k ∣

∣ f + 8 ∣ = 0