What is the answer to |4x-7|=8 ?

The answer to |4x-7|=8 is x=-1/4 \lor x= 15/4

Solve for x: |4x-7|=8

The solution is x=-1/4 \lor x= 15/4

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∣ 4 x - 7 ∣ = 8

x = - \frac{1}{4} or x = \frac{15}{4}

Solution steps

∣ 4 x - 7 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x - 7 = - 8 or 4 x - 7 = 8

4 x - 7 = - 8 or 4 x - 7 = 8

x = - \frac{1}{4} or x = \frac{15}{4}

a + \frac{1}{b + \frac{1}{c + \frac{1}{d}}}

x + 8 = - 2

\frac{3}{2 - 7}

\frac{5.6}{8} \cdot (x + 8) = \frac{6}{12} \cdot (x + 12)

7 (m + 9) - 18 = 59