What is the answer to |6x+8|=-21x+1 ?

The answer to |6x+8|=-21x+1 is x=-7/27

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|6x+8|=-21x+1

∣ 6 x + 8 ∣ = - 21 x + 1

x = - \frac{7}{27}

Decimal Notation

x = - 0.25925 \dots

Solution steps

∣ 6 x + 8 ∣ = - 21 x + 1

Find positive and negative intervals

x < - \frac{4}{3}, x \geq - \frac{4}{3}

Solve the inequality for each interval

No Solution or x = - \frac{7}{27}

x = - \frac{7}{27}

∣ 1 - b ∣ = 3

∣ 4 x + 5 ∣ - 4 = 24

\frac{∣ r + 1 ∣}{5} = 3

\frac{1}{2} t - 4 = 1

∣ v - 5 ∣ + 6 = 18