What is the answer to 4|2x+5|+10=37 ?

The answer to 4|2x+5|+10=37 is x=-47/8 \lor x= 7/8

Solve for x: 4|2x+5|+10=37

The solution is x=-47/8 \lor x= 7/8

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4 ∣ 2 x + 5 ∣ + 10 = 37

x = - \frac{47}{8} or x = \frac{7}{8}

Decimal Notation

x = - 5.875, x = 0.875

Solution steps

4 ∣ 2 x + 5 ∣ + 10 = 37

Move

10

to the right side

4 ∣ 2 x + 5 ∣ = 27

Divide both sides by

4

∣ 2 x + 5 ∣ = \frac{27}{4}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x + 5 = - \frac{27}{4} or 2 x + 5 = \frac{27}{4}

2 x + 5 = - \frac{27}{4} or 2 x + 5 = \frac{27}{4}

x = - \frac{47}{8} or x = \frac{7}{8}

\frac{n}{3} = 1

∣ 2 x + 3 ∣ + 12 = 5

∣ V + 8 ∣ - 5 = 2

∣ x + 8 ∣ = 13

- 20 = 3 ∣ x ∣ + 1

What is the answer to 4|2x+5|+10=37 ?
The answer to 4|2x+5|+10=37 is x=-47/8 \lor x= 7/8
Solve for x: 4|2x+5|+10=37
The solution is x=-47/8 \lor x= 7/8