What is the answer to |4+7x|=4 ?

The answer to |4+7x|=4 is x=-8/7 \lor x=0

Solve for x: |4+7x|=4

The solution is x=-8/7 \lor x=0

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∣ 4 + 7 x ∣ = 4

x = - \frac{8}{7} or x = 0

Decimal Notation

x = - 1.14285 \dots, x = 0

Solution steps

∣ 4 + 7 x ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 + 7 x = - 4 or 4 + 7 x = 4

4 + 7 x = - 4 or 4 + 7 x = 4

x = - \frac{8}{7} or x = 0

∣ - 2 x ∣ = 16

∣ 3 - 5 x ∣ + 3 = 12

10 + ∣ m - 6 ∣ = 7

\frac{3}{4} x - 8 = 14

∣ n ∣ + 2 = 5