What is the answer to -|3x-7|+7=4 ?

The answer to -|3x-7|+7=4 is x= 4/3 \lor x= 10/3

Solve for x: -|3x-7|+7=4

The solution is x= 4/3 \lor x= 10/3

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- ∣ 3 x - 7 ∣ + 7 = 4

x = \frac{4}{3} or x = \frac{10}{3}

Decimal Notation

x = 1.33333 \dots, x = 3.33333 \dots

Solution steps

- ∣ 3 x - 7 ∣ + 7 = 4

Move

7

to the right side

- ∣ 3 x - 7 ∣ = - 3

Divide both sides by

- 1

∣ 3 x - 7 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 7 = - 3 or 3 x - 7 = 3

3 x - 7 = - 3 or 3 x - 7 = 3

x = \frac{4}{3} or x = \frac{10}{3}

\frac{b}{12} = 10

10 = \frac{y}{5}

∣ 9 + 3 c ∣ = 15

\frac{c}{6} = 10

∣ 8 k - 5 ∣ = - 4

What is the answer to -|3x-7|+7=4 ?
The answer to -|3x-7|+7=4 is x= 4/3 \lor x= 10/3
Solve for x: -|3x-7|+7=4
The solution is x= 4/3 \lor x= 10/3