What is the answer to 4|v-5|+10=18 ?

The answer to 4|v-5|+10=18 is v=3\lor v=7

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4|v-5|+10=18

4 ∣ v - 5 ∣ + 10 = 18

v = 3 or v = 7

Solution steps

4 ∣ v - 5 ∣ + 10 = 18

Move

10

to the right side

4 ∣ v - 5 ∣ = 8

Divide both sides by

4

∣ v - 5 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

v - 5 = - 2 or v - 5 = 2

v - 5 = - 2 or v - 5 = 2

v = 3 or v = 7

x^{2} - 6 x - 4 = 0

\frac{b}{4} = 8

∣ 0.127 x + 9 ∣ = x^{2}

11 = ∣ 3 x + 5 ∣

4 ∣ 3 (x + 3) (x - 3) ∣ - 4 = 4