What is the answer to |3x+8|=29 ?

The answer to |3x+8|=29 is x=-37/3 \lor x=7

Solve for x: |3x+8|=29

The solution is x=-37/3 \lor x=7

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∣ 3 x + 8 ∣ = 29

x = - \frac{37}{3} or x = 7

Decimal

x = - 12.33333 \dots, x = 7

Solution steps

∣ 3 x + 8 ∣ = 29

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + 8 = - 29 or 3 x + 8 = 29

3 x + 8 = - 29 or 3 x + 8 = 29

x = - \frac{37}{3} or x = 7

∣ 4 x - 2 ∣ = - 8

5 + ∣ - 2 x + 4 ∣ = 11

\frac{x}{3} - 4 = 1

x^{2} - 4 = 3 x

∣ x + 3 ∣ = 5 - x