What is the answer to 4|2x-4|+5=10 ?

The answer to 4|2x-4|+5=10 is x= 11/8 \lor x= 21/8

Solve for x: 4|2x-4|+5=10

The solution is x= 11/8 \lor x= 21/8

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4 ∣ 2 x - 4 ∣ + 5 = 10

x = \frac{11}{8} or x = \frac{21}{8}

Decimal Notation

x = 1.375, x = 2.625

Solution steps

4 ∣ 2 x - 4 ∣ + 5 = 10

Move

5

to the right side

4 ∣ 2 x - 4 ∣ = 5

Divide both sides by

4

∣ 2 x - 4 ∣ = \frac{5}{4}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = \frac{11}{8} or x = \frac{21}{8}

∣ 3 x ∣ = 6

∣ x - 3 ∣ - 7 = 2

∣ k ∣ + 10 = 9

\frac{∣ - 8 - 5 r ∣}{6} = 2

∣ c ∣ + 2 = 12

What is the answer to 4|2x-4|+5=10 ?
The answer to 4|2x-4|+5=10 is x= 11/8 \lor x= 21/8
Solve for x: 4|2x-4|+5=10
The solution is x= 11/8 \lor x= 21/8