What is the answer to |3+7x|=73 ?

The answer to |3+7x|=73 is x=-76/7 \lor x=10

Solve for x: |3+7x|=73

The solution is x=-76/7 \lor x=10

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∣ 3 + 7 x ∣ = 73

x = - \frac{76}{7} or x = 10

Decimal

x = - 10.85714 \dots, x = 10

Solution steps

∣ 3 + 7 x ∣ = 73

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 + 7 x = - 73 or 3 + 7 x = 73

3 + 7 x = - 73 or 3 + 7 x = 73

x = - \frac{76}{7} or x = 10

\frac{1}{2} x + 1 + 4 = 9

6 ∣ x ∣ - 9 = 15

x \cdot ∣ x - 3 ∣ - 2 = 0

∣ 7 x - 12 ∣ = ∣ 4 - 3 x ∣

∣ 4 d - 1 ∣ = ∣ 6 d + 9 ∣