What is the answer to |6x+7|=9 ?

The answer to |6x+7|=9 is x=-8/3 \lor x= 1/3

Solve for x: |6x+7|=9

The solution is x=-8/3 \lor x= 1/3

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∣ 6 x + 7 ∣ = 9

x = - \frac{8}{3} or x = \frac{1}{3}

Decimal Notation

x = - 2.66666 \dots, x = 0.33333 \dots

Solution steps

∣ 6 x + 7 ∣ = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

6 x + 7 = - 9 or 6 x + 7 = 9

6 x + 7 = - 9 or 6 x + 7 = 9

x = - \frac{8}{3} or x = \frac{1}{3}

∣ 6 x + 7 ∣ = 4

∣ 6 x + 7 ∣ = 5

2 x^{2} - 1 = x

x^{6} ∣ - 8 + 5 x ∣ - 4 = - 38

∣ y + 1 ∣ - 5 = 8