What is the answer to |4-5x|=7 ?

The answer to |4-5x|=7 is x=-3/5 \lor x= 11/5

Solve for x: |4-5x|=7

The solution is x=-3/5 \lor x= 11/5

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∣ 4 - 5 x ∣ = 7

x = - \frac{3}{5} or x = \frac{11}{5}

Decimal

x = - 0.6, x = 2.2

Solution steps

∣ 4 - 5 x ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 - 5 x = - 7 or 4 - 5 x = 7

4 - 5 x = - 7 or 4 - 5 x = 7

x = - \frac{3}{5} or x = \frac{11}{5}

∣ x ∣ + x^{2} - 1 - x^{2} = 0

∣ x + 5 ∣ = - \frac{7}{10}

∣ v ∣ + 13 = 20

4 + \frac{b}{6} = 5

2 ∣ x - 1 ∣ = \frac{1}{2} x + 8