What is the answer to 4|2x-3|-11=-6 ?

The answer to 4|2x-3|-11=-6 is x= 7/8 \lor x= 17/8

Solve for x: 4|2x-3|-11=-6

The solution is x= 7/8 \lor x= 17/8

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4 ∣ 2 x - 3 ∣ - 11 = - 6

x = \frac{7}{8} or x = \frac{17}{8}

Decimal Notation

x = 0.875, x = 2.125

Solution steps

4 ∣ 2 x - 3 ∣ - 11 = - 6

Move

11

to the right side

4 ∣ 2 x - 3 ∣ = 5

Divide both sides by

4

∣ 2 x - 3 ∣ = \frac{5}{4}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = \frac{7}{8} or x = \frac{17}{8}

0 = 7 ∣ k ∣

x = ∣ 5 x - 2 ∣

∣ x - 4 ∣ + 7 = 9

∣ 5 - 4 x ∣ = 8

∣ 5 - 4 x ∣ = 9

What is the answer to 4|2x-3|-11=-6 ?
The answer to 4|2x-3|-11=-6 is x= 7/8 \lor x= 17/8
Solve for x: 4|2x-3|-11=-6
The solution is x= 7/8 \lor x= 17/8