What is the answer to |3x+2|+4x=6 ?

The answer to |3x+2|+4x=6 is x= 4/7

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|3x+2|+4x=6

∣ 3 x + 2 ∣ + 4 x = 6

x = \frac{4}{7}

Decimal Notation

x = 0.57142 \dots

Solution steps

∣ 3 x + 2 ∣ + 4 x = 6

Find positive and negative intervals

x < - \frac{2}{3}, x \geq - \frac{2}{3}

Solve the inequality for each interval

No Solution or x = \frac{4}{7}

x = \frac{4}{7}

∣ 9 x + 6 ∣ = 3

\frac{x}{5} = 2

∣ 5 x - 6 ∣ - 6 = 2 x

10 - ∣ 4 x - 6 ∣ = - 1

14 = ∣ x ∣ + 2