What is the answer to 1+5|4x-10|=46 ?

The answer to 1+5|4x-10|=46 is x= 1/4 \lor x= 19/4

Solve for x: 1+5|4x-10|=46

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

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1 + 5 ∣ 4 x - 10 ∣ = 46

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

Decimal Notation

x = 0.25, x = 4.75

Solution steps

1 + 5 ∣ 4 x - 10 ∣ = 46

Move

1

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}

2 w + 13 > 51

125 + m^{3}

1 + 18 ab + 81 a^{2} b^{2}

(5 x + 7)^{2} = 3

- 4 (v + 4) = 3 (v + 4) + 7

What is the answer to 1+5|4x-10|=46 ?
The answer to 1+5|4x-10|=46 is x= 1/4 \lor x= 19/4
Solve for x: 1+5|4x-10|=46
The solution is x= 1/4 \lor x= 19/4