What is the answer to 2|4w-5|=12w-18 ?

The answer to 2|4w-5|=12w-18 is w=2

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2|4w-5|=12w-18

2 ∣ 4 w - 5 ∣ = 12 w - 18

w = 2

Solution steps

2 ∣ 4 w - 5 ∣ = 12 w - 18

Find positive and negative intervals

w < \frac{5}{4}, w \geq \frac{5}{4}

Solve the inequality for each interval

No Solution or w = 2

w = 2

∣ 4 x + 1 ∣ = 3

∣ 2 x + 3 ∣ - 7 = 3 x

37 = ∣ y + 16 ∣

∣ 4 x - 2 ∣ - 8 = 0

3 ∣ x - 5 ∣ = 27