What is the answer to |4x+8|-1=10 ?

The answer to |4x+8|-1=10 is x=-19/4 \lor x= 3/4

Solve for x: |4x+8|-1=10

The solution is x=-19/4 \lor x= 3/4

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∣ 4 x + 8 ∣ - 1 = 10

x = - \frac{19}{4} or x = \frac{3}{4}

Decimal Notation

x = - 4.75, x = 0.75

Solution steps

∣ 4 x + 8 ∣ - 1 = 10

Move

1

to the right side

∣ 4 x + 8 ∣ = 11

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x + 8 = - 11 or 4 x + 8 = 11

4 x + 8 = - 11 or 4 x + 8 = 11

x = - \frac{19}{4} or x = \frac{3}{4}

\frac{5}{4} - 2

x + 1 < \frac{5 x - 3}{x - 3}

10.029 = 0.0025 x^{2} + 0.005 x

\frac{5 x - 8}{- 3} > 8

x^{2} - 6 x + 11 = 0

What is the answer to |4x+8|-1=10 ?
The answer to |4x+8|-1=10 is x=-19/4 \lor x= 3/4
Solve for x: |4x+8|-1=10
The solution is x=-19/4 \lor x= 3/4