What is the answer to |4x+2|=12 ?

The answer to |4x+2|=12 is x=-7/2 \lor x= 5/2

Solve for x: |4x+2|=12

The solution is x=-7/2 \lor x= 5/2

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∣ 4 x + 2 ∣ = 12

x = - \frac{7}{2} or x = \frac{5}{2}

Decimal Notation

x = - 3.5, x = 2.5

Solution steps

∣ 4 x + 2 ∣ = 12

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x + 2 = - 12 or 4 x + 2 = 12

4 x + 2 = - 12 or 4 x + 2 = 12

x = - \frac{7}{2} or x = \frac{5}{2}

∣ x - 5 ∣ = 3 x + 2

∣ 4 x + 2 ∣ = 24

- 3 ∣ r - 4 ∣ - 7 = - 222

2 ∣ x - 1 ∣ + 5 = 3

3 ∣ 3 x - 10 ∣ = 24