What is the answer to |7x+2|=42x+1 ?

The answer to |7x+2|=42x+1 is x= 1/35

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|7x+2|=42x+1

∣ 7 x + 2 ∣ = 42 x + 1

x = \frac{1}{35}

Decimal

x = 0.02857 \dots

Solution steps

∣ 7 x + 2 ∣ = 42 x + 1

Find positive and negative intervals

x < - \frac{2}{7}, x \geq - \frac{2}{7}

Solve the inequality for each interval

No Solution or x = \frac{1}{35}

x = \frac{1}{35}

∣ - 4 x + 4 ∣ = 44

- 3 \frac{v}{9} = - 2

∣ 3 x - 8 ∣ + 2 = 9

∣ Y ∣ = 3

\frac{x - 1}{2} = 7