What is the answer to |6x+1|=7 ?

The answer to |6x+1|=7 is x=-4/3 \lor x=1

Solve for x: |6x+1|=7

The solution is x=-4/3 \lor x=1

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∣ 6 x + 1 ∣ = 7

x = - \frac{4}{3} or x = 1

Decimal Notation

x = - 1.33333 \dots, x = 1

Solution steps

∣ 6 x + 1 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

6 x + 1 = - 7 or 6 x + 1 = 7

6 x + 1 = - 7 or 6 x + 1 = 7

x = - \frac{4}{3} or x = 1

5 (x + 3)^{2} = 90

6 x - 13 = 2 + x

42 \cdot \frac{14}{15}

64 r^{3} + 56 r^{2} - 56 r - 49

x^{4} - 5 x^{3} + 5^{2} - x - 12