What is the answer to 4=|2(x+5)-3| ?

The answer to 4=|2(x+5)-3| is x=-11/2 \lor x=-3/2

Solve for x: 4=|2(x+5)-3|

The solution is x=-11/2 \lor x=-3/2

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4 = ∣ 2 (x + 5) - 3 ∣

x = - \frac{11}{2} or x = - \frac{3}{2}

Decimal

x = - 5.5, x = - 1.5

Solution steps

4 = ∣ 2 (x + 5) - 3 ∣

Switch sides

∣ 2 (x + 5) - 3 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 (x + 5) - 3 = - 4 or 2 (x + 5) - 3 = 4

2 (x + 5) - 3 = - 4 or 2 (x + 5) - 3 = 4

x = - \frac{11}{2} or x = - \frac{3}{2}

∣ 7 x + 1 ∣ = 3

∣ - 7 x ∣ = 7

∣ - x + 1 ∣ = - 10

∣ x - 1 ∣ = 3 x - 5

∣ x - 1 ∣ = 3 x - 9

What is the answer to 4=|2(x+5)-3| ?
The answer to 4=|2(x+5)-3| is x=-11/2 \lor x=-3/2
Solve for x: 4=|2(x+5)-3|
The solution is x=-11/2 \lor x=-3/2