What is the answer to |x+3|=7x-4 ?

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

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|x+3|=7x-4

∣ x + 3 ∣ = 7 x - 4

x = \frac{7}{6}

Decimal Notation

x = 1.16666 \dots

Solution steps

∣ x + 3 ∣ = 7 x - 4

Find positive and negative intervals

x < - 3, x \geq - 3

Solve the inequality for each interval

No Solution or x = \frac{7}{6}

x = \frac{7}{6}

∣ 1 - 5 x ∣ = 6

∣ 1 - 3 x ∣ + x = - 3

- 2 ∣ x - 4 ∣ + 6 = - 8

3 ∣ 7 w + 15 ∣ = - 6 w

∣ x - 12 ∣ = - 15