What is the answer to 2|4x-3|-8=-3 ?

The answer to 2|4x-3|-8=-3 is x= 1/8 \lor x= 11/8

Solve for x: 2|4x-3|-8=-3

The solution is x= 1/8 \lor x= 11/8

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2 ∣ 4 x - 3 ∣ - 8 = - 3

x = \frac{1}{8} or x = \frac{11}{8}

Decimal Notation

x = 0.125, x = 1.375

Solution steps

2 ∣ 4 x - 3 ∣ - 8 = - 3

Move

8

to the right side

2 ∣ 4 x - 3 ∣ = 5

Divide both sides by

2

∣ 4 x - 3 ∣ = \frac{5}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x - 3 = - \frac{5}{2} or 4 x - 3 = \frac{5}{2}

4 x - 3 = - \frac{5}{2} or 4 x - 3 = \frac{5}{2}

x = \frac{1}{8} or x = \frac{11}{8}

∣ x + 7 ∣ = 27

∣ 3 x + 1 ∣ = 6 x + 2

∣ x ∣ - x = 0

∣ x ∣ - x = 6

4 ∣ 2 x - 1 ∣ = 36

What is the answer to 2|4x-3|-8=-3 ?
The answer to 2|4x-3|-8=-3 is x= 1/8 \lor x= 11/8
Solve for x: 2|4x-3|-8=-3
The solution is x= 1/8 \lor x= 11/8