What is the answer to (5|2x-4|)/4 =10 ?

The answer to (5|2x-4|)/4 =10 is x=-2\lor x=6

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(5|2x-4|)/4 =10

\frac{5 ∣ 2 x - 4 ∣}{4} = 10

x = - 2 or x = 6

Solution steps

\frac{5 ∣ 2 x - 4 ∣}{4} = 10

Multiply both sides by

4

5 ∣ 2 x - 4 ∣ = 40

Divide both sides by

5

∣ 2 x - 4 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 4 = - 8 or 2 x - 4 = 8

2 x - 4 = - 8 or 2 x - 4 = 8

x = - 2 or x = 6

3 x^{2} - 17 x + 10 = 10

4 ∣ p - 3 ∣ = ∣ 2 p + 8 ∣

∣ 4 x - 6 ∣ = 3 x - 7

∣ 2 x - 8 ∣ = - 14

∣ x - 1 ∣ = x^{2} - x - 1

What is the answer to (5|2x-4|)/4 =10 ?
The answer to (5|2x-4|)/4 =10 is x=-2\lor x=6
Solve for x: (5|2x-4|)/4 =10
The solution is x=-2\lor x=6