What is the answer to |7x+5|=16 ?

The answer to |7x+5|=16 is x=-3\lor x= 11/7

Solve for x: |7x+5|=16

The solution is x=-3\lor x= 11/7

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∣ 7 x + 5 ∣ = 16

x = - 3 or x = \frac{11}{7}

Decimal

x = - 3, x = 1.57142 \dots

Solution steps

∣ 7 x + 5 ∣ = 16

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

7 x + 5 = - 16 or 7 x + 5 = 16

7 x + 5 = - 16 or 7 x + 5 = 16

x = - 3 or x = \frac{11}{7}

∣ x - 4 ∣ = ∣ 5 - 2 ∣

x^{2} - 7 x - 9 - 9 = 0

∣ x - 5 ∣ = x^{2} - 8 x + 15

∣ 10 x - 5 ∣ = - 65

9 + ∣ 7 x - 3 ∣ = \frac{2}{5}