What is the answer to |x|+4=10 ?

The answer to |x|+4=10 is x=-6\lor x=6

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|x|+4=10

∣ x ∣ + 4 = 10

x = - 6 or x = 6

Solution steps

∣ x ∣ + 4 = 10

Move

4

to the right side

∣ x ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x = - 6 or x = 6

∣ 2 x - 6 ∣ + ∣ x - y + 3 ∣ = 0

x^{2} - 3 x + 2 = 0

x^{2} + x - 2 = x^{2} + x - 2

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

∣ a ∣ = 2, ∣ b ∣ = 3, ∣ 3 a + b ∣ = 7