What is the answer to |6x-5|=7 ?

The answer to |6x-5|=7 is x=-1/3 \lor x=2

Solve for x: |6x-5|=7

The solution is x=-1/3 \lor x=2

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∣ 6 x - 5 ∣ = 7

x = - \frac{1}{3} or x = 2

Decimal

x = - 0.33333 \dots, x = 2

Solution steps

∣ 6 x - 5 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

6 x - 5 = - 7 or 6 x - 5 = 7

6 x - 5 = - 7 or 6 x - 5 = 7

x = - \frac{1}{3} or x = 2

6 x^{2} + 3 x - 3

x^{2} + \frac{5}{2} x - \frac{3}{2} = 0

12 x^{3} y + 144 x^{2} y^{2} + 60 x y^{3}

2 (- 4)^{2}

3^{2} + 3