What is the answer to |5x-4|+4=6 ?

The answer to |5x-4|+4=6 is x= 2/5 \lor x= 6/5

Solve for x: |5x-4|+4=6

The solution is x= 2/5 \lor x= 6/5

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∣ 5 x - 4 ∣ + 4 = 6

x = \frac{2}{5} or x = \frac{6}{5}

Solution steps

∣ 5 x - 4 ∣ + 4 = 6

Move

4

to the right side

∣ 5 x - 4 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 x - 4 = - 2 or 5 x - 4 = 2

5 x - 4 = - 2 or 5 x - 4 = 2

x = \frac{2}{5} or x = \frac{6}{5}

6 x - 2 = 4 x + 48

(x - 1) (x + 3) = 12

x^{2} - 4 x + 3

x^{2} - 8 x + 4 > - 3

\frac{x + 1}{x} > 2

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