What is the answer to |(3x-7)/2 |=10 ?

The answer to |(3x-7)/2 |=10 is x=-13/3 \lor x=9

Solve for x: |(3x-7)/2 |=10

The solution is x=-13/3 \lor x=9

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\frac{3 x - 7}{2} = 10

x = - \frac{13}{3} or x = 9

Decimal

x = - 4.33333 \dots, x = 9

Solution steps

\frac{3 x - 7}{2} = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{3 x - 7}{2} = - 10 or \frac{3 x - 7}{2} = 10

\frac{3 x - 7}{2} = - 10 or \frac{3 x - 7}{2} = 10

x = - \frac{13}{3} or x = 9

∣ f - 6 ∣ = ∣ f + 8 ∣

∣ 2 x - 4 ∣ = 0.002

∣ p + 4 ∣ = ∣ p - 2 ∣

x^{2} - ∣ x - 2 ∣ - 8 = 4 x

∣ 20 x ∣ = ∣ 4 x + 16 ∣

What is the answer to |(3x-7)/2 |=10 ?
The answer to |(3x-7)/2 |=10 is x=-13/3 \lor x=9
Solve for x: |(3x-7)/2 |=10
The solution is x=-13/3 \lor x=9