What is the answer to |5x+1|=11 ?

The answer to |5x+1|=11 is x=-12/5 \lor x=2

Solve for x: |5x+1|=11

The solution is x=-12/5 \lor x=2

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∣ 5 x + 1 ∣ = 11

x = - \frac{12}{5} or x = 2

Decimal Notation

x = - 2.4, x = 2

Solution steps

∣ 5 x + 1 ∣ = 11

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 x + 1 = - 11 or 5 x + 1 = 11

5 x + 1 = - 11 or 5 x + 1 = 11

x = - \frac{12}{5} or x = 2

3 - \frac{3}{4}

x^{2} + x - 30

- 48 t + 2 \leq - 71 t + 14

\frac{1}{2} x = 4

18 a x^{5} y^{3} - 36 x^{4} y^{3} - 54 x^{2} y^{8}