What is the answer to 7|x-4|=6 ?

The answer to 7|x-4|=6 is x= 22/7 \lor x= 34/7

Solve for x: 7|x-4|=6

The solution is x= 22/7 \lor x= 34/7

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7 ∣ x - 4 ∣ = 6

x = \frac{22}{7} or x = \frac{34}{7}

Decimal Notation

x = 3.14285 \dots, x = 4.85714 \dots

Solution steps

7 ∣ x - 4 ∣ = 6

Divide both sides by

7

∣ x - 4 ∣ = \frac{6}{7}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 4 = - \frac{6}{7} or x - 4 = \frac{6}{7}

x - 4 = - \frac{6}{7} or x - 4 = \frac{6}{7}

x = \frac{22}{7} or x = \frac{34}{7}

∣ 2 x - 1 ∣ = 5 x

9 \frac{b}{2} - 4 = 32

∣ 4 x - 7 ∣ = 13

∣ x + 8 ∣ = 9

6 - ∣ 3 x + 6 ∣ = 3