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

The answer to 4|x-5|=7(x-4) is x= 48/11

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4|x-5|=7(x-4)

4 ∣ x - 5 ∣ = 7 (x - 4)

x = \frac{48}{11}

Decimal Notation

x = 4.36363 \dots

Solution steps

4 ∣ x - 5 ∣ = 7 (x - 4)

Find positive and negative intervals

x < 5, x \geq 5

Solve the inequality for each interval

x = \frac{48}{11} or No Solution

x = \frac{48}{11}

∣ 3 x + 2 ∣ = 2 x - 3

∣ - 10 - 9 k ∣ + 10 = 38

∣ - 4 a + 9 ∣ = 16

3 ∣ x ∣ + 4 = 21

4 - 5 x = ∣ 5 x - 4 ∣