What is the answer to |3x-4|+4=10 ?

The answer to |3x-4|+4=10 is x=-2/3 \lor x= 10/3

Solve for x: |3x-4|+4=10

The solution is x=-2/3 \lor x= 10/3

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∣ 3 x - 4 ∣ + 4 = 10

x = - \frac{2}{3} or x = \frac{10}{3}

Decimal Notation

x = - 0.66666 \dots, x = 3.33333 \dots

Solution steps

∣ 3 x - 4 ∣ + 4 = 10

Move

4

to the right side

∣ 3 x - 4 ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 4 = - 6 or 3 x - 4 = 6

3 x - 4 = - 6 or 3 x - 4 = 6

x = - \frac{2}{3} or x = \frac{10}{3}

3 x^{2} - 20 x + 36 = 0

x^{2} - 1.7 x + 0.72 = 0

25 x^{2} - 15 x + 2 = 0

\frac{x}{2} - 3 = 5 - x

5 - 2 x = 3 x

What is the answer to |3x-4|+4=10 ?
The answer to |3x-4|+4=10 is x=-2/3 \lor x= 10/3
Solve for x: |3x-4|+4=10
The solution is x=-2/3 \lor x= 10/3