What is the answer to -13+11|-10x+13|=16 ?

The answer to -13+11|-10x+13|=16 is x= 57/55 \lor x= 86/55

Solve for x: -13+11|-10x+13|=16

The solution is x= 57/55 \lor x= 86/55

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- 13 + 11 ∣ - 10 x + 13 ∣ = 16

x = \frac{57}{55} or x = \frac{86}{55}

Decimal

x = 1.03636 \dots, x = 1.56363 \dots

Solution steps

- 13 + 11 ∣ - 10 x + 13 ∣ = 16

Move

13

to the right side

11 ∣ - 10 x + 13 ∣ = 29

Divide both sides by

11

∣ - 10 x + 13 ∣ = \frac{29}{11}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 10 x + 13 = - \frac{29}{11} or - 10 x + 13 = \frac{29}{11}

- 10 x + 13 = - \frac{29}{11} or - 10 x + 13 = \frac{29}{11}

x = \frac{57}{55} or x = \frac{86}{55}

∣ y ∣ = 1 - ∣ x ∣

∣ x ∣ + 5 = 11

5 ∣ 7 w + 1 ∣ + 9 = 9

\frac{1}{4} - 2 ∣ x + 2 ∣ = 0

x^{2} + 7 x + 14 = 4

What is the answer to -13+11|-10x+13|=16 ?
The answer to -13+11|-10x+13|=16 is x= 57/55 \lor x= 86/55
Solve for x: -13+11|-10x+13|=16
The solution is x= 57/55 \lor x= 86/55