What is the answer to |6-2x|+7=12x+7 ?

The answer to |6-2x|+7=12x+7 is x= 3/7

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|6-2x|+7=12x+7

∣ 6 - 2 x ∣ + 7 = 12 x + 7

x = \frac{3}{7}

Decimal Notation

x = 0.42857 \dots

Solution steps

∣ 6 - 2 x ∣ + 7 = 12 x + 7

Find positive and negative intervals

x \leq 3, x > 3

Solve the inequality for each interval

x = \frac{3}{7} or No Solution

x = \frac{3}{7}

∣ x + 3 ∣ = 6

∣ x + 6 ∣ + 3 = 16

∣ g + 7 ∣ + 13 = 4

∣ 9 n + 8 ∣ = 46

7 - 3 ∣ x + 2 ∣ = 2