What is the answer to |4k+5|=|3k-2| ?

The answer to |4k+5|=|3k-2| is k=-7\lor k=-3/7

Solve for k: |4k+5|=|3k-2|

The solution is k=-7\lor k=-3/7

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∣ 4 k + 5 ∣ = ∣ 3 k - 2 ∣

k = - 7 or k = - \frac{3}{7}

Decimal

k = - 7, k = - 0.42857 \dots

Solution steps

∣ 4 k + 5 ∣ = ∣ 3 k - 2 ∣

Find positive and negative intervals

k < - \frac{5}{4}, - \frac{5}{4} \leq k < \frac{2}{3}, k \geq \frac{2}{3}

Solve the inequality for each interval

k = - 7 or k = - \frac{3}{7} or No Solution

k = - 7 or k = - \frac{3}{7}

∣ x - 3 ∣ + ∣ x + 2 ∣ = 5

3 ∣ 2 x + 9 ∣ + 12 = 10

∣ 5 x + 1 ∣ = 2

- 13 + 11 ∣ - 10 x + 13 ∣ = 16

∣ y ∣ = 1 - ∣ x ∣

What is the answer to |4k+5|=|3k-2| ?
The answer to |4k+5|=|3k-2| is k=-7\lor k=-3/7
Solve for k: |4k+5|=|3k-2|
The solution is k=-7\lor k=-3/7