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

The answer to 2|4-x|=7 is x= 1/2 \lor x= 15/2

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

The solution is x= 1/2 \lor x= 15/2

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2 ∣ 4 - x ∣ = 7

x = \frac{1}{2} or x = \frac{15}{2}

Solution steps

2 ∣ 4 - x ∣ = 7

Divide both sides by

2

∣ 4 - x ∣ = \frac{7}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 - x = - \frac{7}{2} or 4 - x = \frac{7}{2}

4 - x = - \frac{7}{2} or 4 - x = \frac{7}{2}

x = \frac{1}{2} or x = \frac{15}{2}

- 0.000008 x^{2} + 0.0074 x - 0.0233 = 0.0138

6 b p^{3} - 27 p^{2} - 10 b pq + 45 q

6 (x + 4) = 20

\frac{3}{4} n - 18 = \frac{1}{4} n - 4

\frac{3 a ^{5}}{4} \cdot \frac{2}{- 15 a ^{3}}