What is the answer to 7-|3+4x|=2 ?

The answer to 7-|3+4x|=2 is x=-2\lor x= 1/2

Solve for x: 7-|3+4x|=2

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

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7 - ∣ 3 + 4 x ∣ = 2

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

Decimal Notation

x = - 2, x = 0.5

Solution steps

7 - ∣ 3 + 4 x ∣ = 2

Move

7

to the right side

- ∣ 3 + 4 x ∣ = - 5

Divide both sides by

- 1

∣ 3 + 4 x ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

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

∣ z ∣ + 9 = - 7

- 2 ∣ 7 - 2 x ∣ = 5

∣ x - 0.5 ∣ + 0.3 = 1

∣ 4 x + 9 ∣ + 7 = 5

x^{2} - 14 = 11