What is the answer to 4|10x|-3=117 ?

The answer to 4|10x|-3=117 is x=-3\lor x=3

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4|10x|-3=117

4 ∣ 10 x ∣ - 3 = 117

x = - 3 or x = 3

Solution steps

4 ∣ 10 x ∣ - 3 = 117

Move

3

to the right side

4 ∣ 10 x ∣ = 120

Divide both sides by

4

∣ 10 x ∣ = 30

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

10 x = - 30 or 10 x = 30

10 x = - 30 or 10 x = 30

x = - 3 or x = 3

∣ 8 + 7 x ∣ = 11 x - 2

- ∣ 3 + x ∣ = 1

\frac{1}{2} ∣ x ∣ + 3 = 3

∣ - 3 x ∣ + 11 = - 5

∣ - 9 x - 5 ∣ - 6 = 2