What is the answer to 7|2x-3|=21 ?

The answer to 7|2x-3|=21 is x=0\lor x=3

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7|2x-3|=21

7 ∣ 2 x - 3 ∣ = 21

x = 0 or x = 3

Solution steps

7 ∣ 2 x - 3 ∣ = 21

Divide both sides by

7

∣ 2 x - 3 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = 0 or x = 3

- 6 + 4 x \geq 13 x + 6

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

3 b^{2} + 6 b + 91 = 10

\frac{y}{5} - \frac{1}{2} (\frac{y}{2}) = \frac{7}{20}

\frac{u - v}{8 v} + \frac{6 u - 3 v}{8 v}