What is the answer to 2|x-4|-5=11-13 ?

The answer to 2|x-4|-5=11-13 is x= 5/2 \lor x= 11/2

Solve for x: 2|x-4|-5=11-13

The solution is x= 5/2 \lor x= 11/2

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2 ∣ x - 4 ∣ - 5 = 11 - 13

x = \frac{5}{2} or x = \frac{11}{2}

Decimal Notation

x = 2.5, x = 5.5

Solution steps

2 ∣ x - 4 ∣ - 5 = 11 - 13

Subtract the numbers:

11 - 13 = - 2

2 ∣ x - 4 ∣ - 5 = - 2

Move

5

to the right side

2 ∣ x - 4 ∣ = 3

Divide both sides by

2

∣ x - 4 ∣ = \frac{3}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = \frac{5}{2} or x = \frac{11}{2}

∣ - 5 x - 9 ∣ = 4

x^{2} - 5 x = 6 - x^{2}

x^{3} ∣ x + 3 ∣ = 12

- 7 = \frac{a - 3}{- 2}

3 + ∣ 3 x + 4 ∣ = - 3

What is the answer to 2|x-4|-5=11-13 ?
The answer to 2|x-4|-5=11-13 is x= 5/2 \lor x= 11/2
Solve for x: 2|x-4|-5=11-13
The solution is x= 5/2 \lor x= 11/2