What is the answer to |5x+1|=36 ?

The answer to |5x+1|=36 is x=-37/5 \lor x=7

Solve for x: |5x+1|=36

The solution is x=-37/5 \lor x=7

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∣ 5 x + 1 ∣ = 36

x = - \frac{37}{5} or x = 7

Decimal Notation

x = - 7.4, x = 7

Solution steps

∣ 5 x + 1 ∣ = 36

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 x + 1 = - 36 or 5 x + 1 = 36

5 x + 1 = - 36 or 5 x + 1 = 36

x = - \frac{37}{5} or x = 7

- 28 - 7 x \leq 0

\frac{5 π}{3} - π

- 50 < 7 x + 6 < - 8

\frac{6 x}{7} - \frac{x}{4} = - 1

- 2 x + 2 = 2 \cdot (4 - x)