What is the answer to 10|1-7x|-5=75 ?

The answer to 10|1-7x|-5=75 is x=-1\lor x= 9/7

Solve for x: 10|1-7x|-5=75

The solution is x=-1\lor x= 9/7

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10 ∣ 1 - 7 x ∣ - 5 = 75

x = - 1 or x = \frac{9}{7}

Decimal Notation

x = - 1, x = 1.28571 \dots

Solution steps

10 ∣ 1 - 7 x ∣ - 5 = 75

Move

5

to the right side

10 ∣ 1 - 7 x ∣ = 80

Divide both sides by

10

∣ 1 - 7 x ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

1 - 7 x = - 8 or 1 - 7 x = 8

1 - 7 x = - 8 or 1 - 7 x = 8

x = - 1 or x = \frac{9}{7}

x^{2} - 4 = x + 2

∣ 4 x - 18 ∣ - 7 = - 5

∣ 3 - 2 y ∣ = 5

∣ x ∣ + 6 = 13

4 - ∣ 3 x + 5 ∣ = 6 x - 10

What is the answer to 10|1-7x|-5=75 ?
The answer to 10|1-7x|-5=75 is x=-1\lor x= 9/7
Solve for x: 10|1-7x|-5=75
The solution is x=-1\lor x= 9/7