What is the answer to 2-5|4x-10|=-43 ?

The answer to 2-5|4x-10|=-43 is x= 1/4 \lor x= 19/4

Solve for x: 2-5|4x-10|=-43

The solution is x= 1/4 \lor x= 19/4

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2 - 5 ∣ 4 x - 10 ∣ = - 43

x = \frac{1}{4} or x = \frac{19}{4}

Decimal Notation

x = 0.25, x = 4.75

Solution steps

2 - 5 ∣ 4 x - 10 ∣ = - 43

Move

2

to the right side

- 5 ∣ 4 x - 10 ∣ = - 45

Divide both sides by

- 5

∣ 4 x - 10 ∣ = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x - 10 = - 9 or 4 x - 10 = 9

4 x - 10 = - 9 or 4 x - 10 = 9

x = \frac{1}{4} or x = \frac{19}{4}

∣ 10 b ∣ = 10

∣ b - 2 ∣ = 5

∣ - 5 p ∣ = 35

2 x^{2} + 1 = 4 x + 7

8 = \frac{c}{12}

What is the answer to 2-5|4x-10|=-43 ?
The answer to 2-5|4x-10|=-43 is x= 1/4 \lor x= 19/4
Solve for x: 2-5|4x-10|=-43
The solution is x= 1/4 \lor x= 19/4