What is the answer to 2|-x-7|-10=-9 ?

The answer to 2|-x-7|-10=-9 is x=-15/2 \lor x=-13/2

Solve for x: 2|-x-7|-10=-9

The solution is x=-15/2 \lor x=-13/2

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2 ∣ - x - 7 ∣ - 10 = - 9

x = - \frac{15}{2} or x = - \frac{13}{2}

Decimal Notation

x = - 7.5, x = - 6.5

Solution steps

2 ∣ - x - 7 ∣ - 10 = - 9

Move

10

to the right side

2 ∣ - x - 7 ∣ = 1

Divide both sides by

2

∣ - x - 7 ∣ = \frac{1}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- x - 7 = - \frac{1}{2} or - x - 7 = \frac{1}{2}

- x - 7 = - \frac{1}{2} or - x - 7 = \frac{1}{2}

x = - \frac{15}{2} or x = - \frac{13}{2}

∣ x - 1 ∣ = - 1

∣ 5 - 3 x ∣ = 4

∣ x - 1 ∣ = 11

∣ x - 1 ∣ = 10

∣ x - 1 ∣ = 20

What is the answer to 2|-x-7|-10=-9 ?
The answer to 2|-x-7|-10=-9 is x=-15/2 \lor x=-13/2
Solve for x: 2|-x-7|-10=-9
The solution is x=-15/2 \lor x=-13/2