What is the answer to -3|x-5|+8=-36 ?

The answer to -3|x-5|+8=-36 is x=-29/3 \lor x= 59/3

Solve for x: -3|x-5|+8=-36

The solution is x=-29/3 \lor x= 59/3

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- 3 ∣ x - 5 ∣ + 8 = - 36

x = - \frac{29}{3} or x = \frac{59}{3}

Decimal Notation

x = - 9.66666 \dots, x = 19.66666 \dots

Solution steps

- 3 ∣ x - 5 ∣ + 8 = - 36

Move

8

to the right side

- 3 ∣ x - 5 ∣ = - 44

Divide both sides by

- 3

∣ x - 5 ∣ = \frac{44}{3}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 5 = - \frac{44}{3} or x - 5 = \frac{44}{3}

x - 5 = - \frac{44}{3} or x - 5 = \frac{44}{3}

x = - \frac{29}{3} or x = \frac{59}{3}

∣ x - 3 ∣ = 5 x + 13

∣ 2 x + 6 ∣ = 2

\frac{2}{3} ∣ x ∣ = 9

∣ 3 + 5 x ∣ = 7

- 2 ∣ x - 5 ∣ - 11 = - 29

What is the answer to -3|x-5|+8=-36 ?
The answer to -3|x-5|+8=-36 is x=-29/3 \lor x= 59/3
Solve for x: -3|x-5|+8=-36
The solution is x=-29/3 \lor x= 59/3