What is the answer to 16=|-3x+5| ?

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

Solve for x: 16=|-3x+5|

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

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16 = ∣ - 3 x + 5 ∣

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

Decimal Notation

x = - 3.66666 \dots, x = 7

Solution steps

16 = ∣ - 3 x + 5 ∣

Switch sides

∣ - 3 x + 5 ∣ = 16

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 3 x + 5 = - 16 or - 3 x + 5 = 16

- 3 x + 5 = - 16 or - 3 x + 5 = 16

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

2 ∣ 4 w - 1 ∣ = 3 ∣ 4 w + 2 ∣

(3 x^{2} - 2 x - 1) - (2 x^{3} - 2 x^{2} + x - 4)

\frac{6 x - 19}{2} = \frac{2 x - 11}{3}

r^{9} - 8 (r^{3} - 1)^{3}

2 x^{2} + 4 = 22