What is the answer to |4x+3|=5 ?

The answer to |4x+3|=5 is x=-2\lor x= 1/2

Solve for x: |4x+3|=5

The solution is x=-2\lor x= 1/2

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∣ 4 x + 3 ∣ = 5

x = - 2 or x = \frac{1}{2}

Decimal Notation

x = - 2, x = 0.5

Solution steps

∣ 4 x + 3 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x + 3 = - 5 or 4 x + 3 = 5

4 x + 3 = - 5 or 4 x + 3 = 5

x = - 2 or x = \frac{1}{2}

∣ 4 a - 8 ∣ = 8

∣ - 2 x - 12 ∣ = 10

2 = ∣ m + 23 ∣

- 7 ∣ - 8 x - 6 ∣ = - 70

f (- 2) = ∣ x + 3 ∣, x \leq - 1