What is the answer to 4-|3x+5|=6x-10 ?

The answer to 4-|3x+5|=6x-10 is x=1

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4-|3x+5|=6x-10

4 - ∣ 3 x + 5 ∣ = 6 x - 10

x = 1

Solution steps

4 - ∣ 3 x + 5 ∣ = 6 x - 10

Find positive and negative intervals

x < - \frac{5}{3}, x \geq - \frac{5}{3}

Solve the inequality for each interval

No Solution or x = 1

x = 1

\frac{∣ 10 n ∣}{7} = - 1

∣ 4 - x ∣ - 10 = 1

∣ 2 x + 5 ∣ = x + 3

∣ x + 6 ∣ = - 8

∣ 2 x + 5 ∣ = 17