What is the answer to |7x+5|=23 ?

The answer to |7x+5|=23 is x=-4\lor x= 18/7

Solve for x: |7x+5|=23

The solution is x=-4\lor x= 18/7

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∣ 7 x + 5 ∣ = 23

x = - 4 or x = \frac{18}{7}

Decimal Notation

x = - 4, x = 2.57142 \dots

Solution steps

∣ 7 x + 5 ∣ = 23

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

7 x + 5 = - 23 or 7 x + 5 = 23

7 x + 5 = - 23 or 7 x + 5 = 23

x = - 4 or x = \frac{18}{7}

8 - 12 ∣ x + 5 ∣ = - 4

8 x + 8 = ∣ - 9 x + 4 ∣

2 ∣ y - 3 ∣ - 6 = 0

∣ 2 x + 1 ∣ = x + 2

x^{2} - 3 = 13