What is the answer to 4\times |2x+7|-5=31 ?

The answer to 4\times |2x+7|-5=31 is x=-8\lor x=1

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4\times |2x+7|-5=31

4 \cdot ∣ 2 x + 7 ∣ - 5 = 31

x = - 8 or x = 1

Solution steps

4 ∣ 2 x + 7 ∣ - 5 = 31

Move

5

to the right side

4 ∣ 2 x + 7 ∣ = 36

Divide both sides by

4

∣ 2 x + 7 ∣ = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x + 7 = - 9 or 2 x + 7 = 9

2 x + 7 = - 9 or 2 x + 7 = 9

x = - 8 or x = 1

∣ 5 x - 1 ∣ = x + 4

8 = 2 ∣ x ∣ - 6

∣ x + 1 ∣ = 4 - ∣ 3 x - 2 ∣

∣ x - 5 ∣ = 0.02

x + \frac{2}{2} = 2

What is the answer to 4\times |2x+7|-5=31 ?
The answer to 4\times |2x+7|-5=31 is x=-8\lor x=1
Solve for x: 4\times |2x+7|-5=31
The solution is x=-8\lor x=1