What is the answer to |6x-2|=7 ?

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

Solve for x: |6x-2|=7

The solution is x=-5/6 \lor x= 3/2

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∣ 6 x - 2 ∣ = 7

x = - \frac{5}{6} or x = \frac{3}{2}

Decimal Notation

x = - 0.83333 \dots, x = 1.5

Solution steps

∣ 6 x - 2 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

6 x - 2 = - 7 or 6 x - 2 = 7

6 x - 2 = - 7 or 6 x - 2 = 7

x = - \frac{5}{6} or x = \frac{3}{2}

5 ∣ 8 n + 6 ∣ - 4 = 106

\frac{x}{3} = 3

∣ 3 - m ∣ = 12

4 ∣ 2 x - 4 ∣ + 5 = 10

∣ 3 x ∣ = 6