What is the answer to 7=|8x+6| ?

The answer to 7=|8x+6| is x=-13/8 \lor x= 1/8

Solve for x: 7=|8x+6|

The solution is x=-13/8 \lor x= 1/8

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7 = ∣ 8 x + 6 ∣

x = - \frac{13}{8} or x = \frac{1}{8}

Decimal Notation

x = - 1.625, x = 0.125

Solution steps

7 = ∣ 8 x + 6 ∣

Switch sides

∣ 8 x + 6 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

8 x + 6 = - 7 or 8 x + 6 = 7

8 x + 6 = - 7 or 8 x + 6 = 7

x = - \frac{13}{8} or x = \frac{1}{8}

3 ∣ 4 z - 1 ∣ - 5 = 10

∣ - x ∣ = - x

x^{2} - 4 x - 18 = 3

∣ - x ∣ = - 3

57 = ∣ b - 8 ∣