What is the answer to 4|x+44-3x|=10 ?

The answer to 4|x+44-3x|=10 is x= 83/4 \lor x= 93/4

Solve for x: 4|x+44-3x|=10

The solution is x= 83/4 \lor x= 93/4

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4 ∣ x + 44 - 3 x ∣ = 10

x = \frac{83}{4} or x = \frac{93}{4}

Decimal Notation

x = 20.75, x = 23.25

Solution steps

4 ∣ x + 44 - 3 x ∣ = 10

Divide both sides by

4

∣ x + 44 - 3 x ∣ = \frac{5}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 44 - 3 x = - \frac{5}{2} or x + 44 - 3 x = \frac{5}{2}

x + 44 - 3 x = - \frac{5}{2} or x + 44 - 3 x = \frac{5}{2}

x = \frac{83}{4} or x = \frac{93}{4}

∣ 3 x - 5 ∣ = \frac{2}{3}

(x^{2} - 5 x + 6)^{2} - 5 x^{2} - 5 x + 6 + 6 = 0

∣ 2 x - 3 ∣ + ∣ 4 - x ∣ = ∣ x + 1 ∣

∣ x - 2 ∣ + ∣ x + 6 ∣ = 8

x^{2} + 1 = x^{2} - 3 x

What is the answer to 4|x+44-3x|=10 ?
The answer to 4|x+44-3x|=10 is x= 83/4 \lor x= 93/4
Solve for x: 4|x+44-3x|=10
The solution is x= 83/4 \lor x= 93/4