What is the answer to 5|2x-3|=35 ?

The answer to 5|2x-3|=35 is x=-2\lor x=5

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5|2x-3|=35

5 ∣ 2 x - 3 ∣ = 35

x = - 2 or x = 5

Solution steps

5 ∣ 2 x - 3 ∣ = 35

Divide both sides by

5

∣ 2 x - 3 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 3 = - 7 or 2 x - 3 = 7

2 x - 3 = - 7 or 2 x - 3 = 7

x = - 2 or x = 5

2 n^{2} + 13 n - 7

\frac{1}{2} \cdot 13 \cdot 12

20 w^{2} - 45 w + 10

\frac{1}{2} + \frac{3}{8}

y + (- \frac{5}{8}) (\frac{7}{5}) = \frac{- 13}{4}