What is the answer to 4-5|10+5x|=-51-51 ?

The answer to 4-5|10+5x|=-51-51 is x=-156/25 \lor x= 56/25

Solve for x: 4-5|10+5x|=-51-51

The solution is x=-156/25 \lor x= 56/25

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4 - 5 ∣ 10 + 5 x ∣ = - 51 - 51

x = - \frac{156}{25} or x = \frac{56}{25}

Decimal Notation

x = - 6.24, x = 2.24

Solution steps

4 - 5 ∣ 10 + 5 x ∣ = - 51 - 51

Subtract the numbers:

- 51 - 51 = - 102

4 - 5 ∣ 10 + 5 x ∣ = - 102

Move

4

to the right side

- 5 ∣ 10 + 5 x ∣ = - 106

Divide both sides by

- 5

∣ 10 + 5 x ∣ = \frac{106}{5}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

10 + 5 x = - \frac{106}{5} or 10 + 5 x = \frac{106}{5}

10 + 5 x = - \frac{106}{5} or 10 + 5 x = \frac{106}{5}

x = - \frac{156}{25} or x = \frac{56}{25}

∣ - p ∣ = 6

∣ 3 x + 1 ∣ + 4 = - 4

∣ x + 4 ∣ + 4 = 2

∣ x ∣ + 13 = 20

- 7 + \frac{a}{3} = - 5

What is the answer to 4-5|10+5x|=-51-51 ?
The answer to 4-5|10+5x|=-51-51 is x=-156/25 \lor x= 56/25
Solve for x: 4-5|10+5x|=-51-51
The solution is x=-156/25 \lor x= 56/25