What is the answer to |8+5x|+1=3 ?

The answer to |8+5x|+1=3 is x=-2\lor x=-6/5

Solve for x: |8+5x|+1=3

The solution is x=-2\lor x=-6/5

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∣ 8 + 5 x ∣ + 1 = 3

x = - 2 or x = - \frac{6}{5}

Decimal Notation

x = - 2, x = - 1.2

Solution steps

∣ 8 + 5 x ∣ + 1 = 3

Move

1

to the right side

∣ 8 + 5 x ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

8 + 5 x = - 2 or 8 + 5 x = 2

8 + 5 x = - 2 or 8 + 5 x = 2

x = - 2 or x = - \frac{6}{5}

8 ∣ - 2 x + 4 ∣ = 96

∣ 3 x - 1 ∣ = - 1

\frac{b}{12} = 8

1 = ∣ 2 c + 1 ∣

∣ b + 17 ∣ = 49