What is the answer to |5x-4|+4=7 ?

The answer to |5x-4|+4=7 is x= 1/5 \lor x= 7/5

Solve for x: |5x-4|+4=7

The solution is x= 1/5 \lor x= 7/5

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∣ 5 x - 4 ∣ + 4 = 7

x = \frac{1}{5} or x = \frac{7}{5}

Decimal Notation

x = 0.2, x = 1.4

Solution steps

∣ 5 x - 4 ∣ + 4 = 7

Move

4

to the right side

∣ 5 x - 4 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 x - 4 = - 3 or 5 x - 4 = 3

5 x - 4 = - 3 or 5 x - 4 = 3

x = \frac{1}{5} or x = \frac{7}{5}

5 x = - 4 x + 36

u^{2} - 4 u - 5 = 0

a \frac{1}{2} x a^{2}

x^{2} + 13 x + 7 = 0

y^{2} + x^{5} y^{4}

What is the answer to |5x-4|+4=7 ?
The answer to |5x-4|+4=7 is x= 1/5 \lor x= 7/5
Solve for x: |5x-4|+4=7
The solution is x= 1/5 \lor x= 7/5