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

The answer to 4|x-7|=6(x+4) is x= 2/5

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4|x-7|=6(x+4)

4 ∣ x - 7 ∣ = 6 (x + 4)

x = \frac{2}{5}

Decimal

x = 0.4

Solution steps

4 ∣ x - 7 ∣ = 6 (x + 4)

Find positive and negative intervals

x < 7, x \geq 7

Solve the inequality for each interval

x = \frac{2}{5} or No Solution

x = \frac{2}{5}

∣ x + 1 ∣ + 2 = ∣ x + 4 ∣

2 x - x^{2} + 3 = - x - 1

2 ∣ x + 4 ∣ = 8 x - 2

\frac{1}{2} ∣ x - 5 ∣ + 3 = x + 4

∣ 8 x - 4 ∣ + 64 = 6