What is the answer to 5|2x-10|+2=57 ?

The answer to 5|2x-10|+2=57 is x=-1/2 \lor x= 21/2

Solve for x: 5|2x-10|+2=57

The solution is x=-1/2 \lor x= 21/2

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5 ∣ 2 x - 10 ∣ + 2 = 57

x = - \frac{1}{2} or x = \frac{21}{2}

Solution steps

5 ∣ 2 x - 10 ∣ + 2 = 57

Move

2

to the right side

5 ∣ 2 x - 10 ∣ = 55

Divide both sides by

5

∣ 2 x - 10 ∣ = 11

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 10 = - 11 or 2 x - 10 = 11

2 x - 10 = - 11 or 2 x - 10 = 11

x = - \frac{1}{2} or x = \frac{21}{2}

∣ 3 x - 2 ∣ = - 7

∣ r ∣ = 5

∣ 4 - 3 m ∣ = m + 10

∣ 5 x - 2 ∣ = 4 x - 4

∣ 4 x - 6 ∣ = 2 x

What is the answer to 5|2x-10|+2=57 ?
The answer to 5|2x-10|+2=57 is x=-1/2 \lor x= 21/2
Solve for x: 5|2x-10|+2=57
The solution is x=-1/2 \lor x= 21/2