What is the answer to 7-3|6x+7|=0 ?

The answer to 7-3|6x+7|=0 is x=-14/9 \lor x=-7/9

Solve for x: 7-3|6x+7|=0

The solution is x=-14/9 \lor x=-7/9

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7 - 3 ∣ 6 x + 7 ∣ = 0

x = - \frac{14}{9} or x = - \frac{7}{9}

Decimal Notation

x = - 1.55555 \dots, x = - 0.77777 \dots

Solution steps

7 - 3 ∣ 6 x + 7 ∣ = 0

Move

7

to the right side

- 3 ∣ 6 x + 7 ∣ = - 7

Divide both sides by

- 3

∣ 6 x + 7 ∣ = \frac{7}{3}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

6 x + 7 = - \frac{7}{3} or 6 x + 7 = \frac{7}{3}

6 x + 7 = - \frac{7}{3} or 6 x + 7 = \frac{7}{3}

x = - \frac{14}{9} or x = - \frac{7}{9}

- 3 ∣ 2 n - 8 ∣ = - 78

n (x) = ∣ - 13 x + 1 ∣ + 2

a = \frac{x + 2}{3}

∣ x - 20 ∣ = x + 2

2 - ∣ 2 x - 5 ∣ = 7

What is the answer to 7-3|6x+7|=0 ?
The answer to 7-3|6x+7|=0 is x=-14/9 \lor x=-7/9
Solve for x: 7-3|6x+7|=0
The solution is x=-14/9 \lor x=-7/9