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

The answer to |4x+2|=5 is x=-7/4 \lor x= 3/4

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

The solution is x=-7/4 \lor x= 3/4

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∣ 4 x + 2 ∣ = 5

x = - \frac{7}{4} or x = \frac{3}{4}

Decimal Notation

x = - 1.75, x = 0.75

Solution steps

∣ 4 x + 2 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x + 2 = - 5 or 4 x + 2 = 5

4 x + 2 = - 5 or 4 x + 2 = 5

x = - \frac{7}{4} or x = \frac{3}{4}

2 x + 1 < 9

1 < 2 x + 3 < 9

15 (3)

(9 + 5 x) + (2 x - 12) = 180

20 x^{2} + 8 x