What is the answer to |4x+2|-3=7 ?

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

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|4x+2|-3=7

∣ 4 x + 2 ∣ - 3 = 7

x = - 3 or x = 2

Solution steps

∣ 4 x + 2 ∣ - 3 = 7

Move

3

to the right side

∣ 4 x + 2 ∣ = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x + 2 = - 10 or 4 x + 2 = 10

4 x + 2 = - 10 or 4 x + 2 = 10

x = - 3 or x = 2

0.625 x = 500

\frac{1}{4} (x + 5)^{2} - 1 = 3

x^{2} - 3 x = 0

\frac{8}{4 + 4 i}

3 v - 14 < 43