What is the answer to 5|x-4|=14 ?

The answer to 5|x-4|=14 is x= 6/5 \lor x= 34/5

Solve for x: 5|x-4|=14

The solution is x= 6/5 \lor x= 34/5

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5 ∣ x - 4 ∣ = 14

x = \frac{6}{5} or x = \frac{34}{5}

Decimal Notation

x = 1.2, x = 6.8

Solution steps

5 ∣ x - 4 ∣ = 14

Divide both sides by

5

∣ x - 4 ∣ = \frac{14}{5}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 4 = - \frac{14}{5} or x - 4 = \frac{14}{5}

x - 4 = - \frac{14}{5} or x - 4 = \frac{14}{5}

x = \frac{6}{5} or x = \frac{34}{5}

∣ - 3 x - 5 ∣ = 10

x = ∣ x ∣

∣ 3 x + 9 ∣ = 15

\frac{x}{9} = 1

∣ 1 - x ∣ = 1 - x

What is the answer to 5|x-4|=14 ?
The answer to 5|x-4|=14 is x= 6/5 \lor x= 34/5
Solve for x: 5|x-4|=14
The solution is x= 6/5 \lor x= 34/5