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

The answer to |2x-3|+2=7 is x=-1\lor x=4

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|2x-3|+2=7

∣ 2 x - 3 ∣ + 2 = 7

x = - 1 or x = 4

Solution steps

∣ 2 x - 3 ∣ + 2 = 7

Move

2

to the right side

∣ 2 x - 3 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 3 = - 5 or 2 x - 3 = 5

2 x - 3 = - 5 or 2 x - 3 = 5

x = - 1 or x = 4

\frac{1 1 ^{6}}{1 1 ^{4}}

9 x^{2} - 6 x + 145 = 0

∣ 3 x - 1 ∣ < - 5

a^{2} - 9 b^{2}

100 y^{2} - 121 z^{4}