What is the answer to |4-3w|=|3w-5| ?

The answer to |4-3w|=|3w-5| is w= 3/2

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|4-3w|=|3w-5|

∣ 4 - 3 w ∣ = ∣ 3 w - 5 ∣

w = \frac{3}{2}

Decimal

w = 1.5

Solution steps

∣ 4 - 3 w ∣ = ∣ 3 w - 5 ∣

Find positive and negative intervals

w \leq \frac{4}{3}, \frac{4}{3} < w < \frac{5}{3}, w \geq \frac{5}{3}

Solve the inequality for each interval

No Solution or w = \frac{3}{2}

w = \frac{3}{2}

- 9 ∣ 10 p - 5 ∣ = - 45

3 ∣ 2 x + 1 ∣ - 3 = 9

∣ x + 4 ∣ + ∣ x - 2 ∣ = 1

4 = ∣ Y ∣

\frac{7 - x}{6} > 8