What is the answer to |4+2x|=7 ?

The answer to |4+2x|=7 is x=-11/2 \lor x= 3/2

Solve for x: |4+2x|=7

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

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∣ 4 + 2 x ∣ = 7

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

Solution steps

∣ 4 + 2 x ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 + 2 x = - 7 or 4 + 2 x = 7

4 + 2 x = - 7 or 4 + 2 x = 7

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

∣ x ∣ = 65

x, 2 ∣ x - 3 ∣ = 5

∣ x - 3 ∣ = 2 - x

0 = ∣ q - 800 ∣

3 ∣ x - 1 ∣ + 2 = 8