What is the answer to |2x+6|=7 ?

The answer to |2x+6|=7 is x=-13/2 \lor x= 1/2

Solve for x: |2x+6|=7

The solution is x=-13/2 \lor x= 1/2

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∣ 2 x + 6 ∣ = 7

x = - \frac{13}{2} or x = \frac{1}{2}

Decimal Notation

x = - 6.5, x = 0.5

Solution steps

∣ 2 x + 6 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x + 6 = - 7 or 2 x + 6 = 7

2 x + 6 = - 7 or 2 x + 6 = 7

x = - \frac{13}{2} or x = \frac{1}{2}

∣ 2 x + 6 ∣ = 6

∣ 2 x + 6 ∣ = 5

3 ∣ x - 1 ∣ - 9 = 0

x^{2} - ∣ x ∣ - 72 = 0

∣ z ∣ + 7 = 17