What is the answer to |7x-3x|+2=18 ?

The answer to |7x-3x|+2=18 is x=-4\lor x=4

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|7x-3x|+2=18

∣ 7 x - 3 x ∣ + 2 = 18

x = - 4 or x = 4

Solution steps

∣ 7 x - 3 x ∣ + 2 = 18

Move

2

to the right side

∣ 7 x - 3 x ∣ = 16

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

7 x - 3 x = - 16 or 7 x - 3 x = 16

7 x - 3 x = - 16 or 7 x - 3 x = 16

x = - 4 or x = 4

∣ 2 x + 7 ∣ - 6 = 8

4 ∣ w - 2 ∣ = 0

\frac{1}{2} ∣ x + 2 ∣ = 10

∣ 13 x + 1 ∣ = 12

x^{2} + 5 ∣ x ∣ + 4 = 0