What is the answer to |x-3|=6x+12 ?

The answer to |x-3|=6x+12 is x=-9/7

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|x-3|=6x+12

∣ x - 3 ∣ = 6 x + 12

x = - \frac{9}{7}

Decimal Notation

x = - 1.28571 \dots

Solution steps

∣ x - 3 ∣ = 6 x + 12

Find positive and negative intervals

x < 3, x \geq 3

Solve the inequality for each interval

x = - \frac{9}{7} or No Solution

x = - \frac{9}{7}

∣ 4 x + 7 ∣ - 4 = 16

∣ 3 x + 1 ∣ = 0

\frac{n}{3} = 3

∣ x + 8 ∣ = - 1

∣ 1 - 2 x ∣ = 3