What is the answer to |7x+3|=11 ?

The answer to |7x+3|=11 is x=-2\lor x= 8/7

Solve for x: |7x+3|=11

The solution is x=-2\lor x= 8/7

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∣ 7 x + 3 ∣ = 11

x = - 2 or x = \frac{8}{7}

Decimal Notation

x = - 2, x = 1.14285 \dots

Solution steps

∣ 7 x + 3 ∣ = 11

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

7 x + 3 = - 11 or 7 x + 3 = 11

7 x + 3 = - 11 or 7 x + 3 = 11

x = - 2 or x = \frac{8}{7}

\frac{∣ 1 + x ∣}{9} = 3

x^{2} - 5 x + 5 = 1

∣ x - 2 ∣ - 1 = 5 (x + 3)

∣ 5 x - 3 ∣ = 15

∣ 5 x - 3 ∣ = - 4