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

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

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

The solution is x=-9/7 \lor x= 3/7

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∣ 7 x + 3 ∣ = 6

x = - \frac{9}{7} or x = \frac{3}{7}

Decimal Notation

x = - 1.28571 \dots, x = 0.42857 \dots

Solution steps

∣ 7 x + 3 ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

7 x + 3 = - 6 or 7 x + 3 = 6

7 x + 3 = - 6 or 7 x + 3 = 6

x = - \frac{9}{7} or x = \frac{3}{7}

ln ∣ 5000 - x ∣ = - 2 x

4 = m + \frac{1}{3}

x, ∣ x ∣ = 2 + y

2 ∣ 4 x + 9 ∣ + 1 = - 61

∣ 3 x ∣ + 3 = 30