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

The answer to |x-1|=7-2x is x= 8/3

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|x-1|=7-2x

∣ x - 1 ∣ = 7 - 2 x

x = \frac{8}{3}

Decimal Notation

x = 2.66666 \dots

Solution steps

∣ x - 1 ∣ = 7 - 2 x

Find positive and negative intervals

x < 1, x \geq 1

Solve the inequality for each interval

No Solution or x = \frac{8}{3}

x = \frac{8}{3}

∣ - 9 + 6 x ∣ = 3

∣ 4 t - 240 ∣ = 35

∣ n ∣ + 3 = 7

\frac{x + 1}{2} = 4

∣ 4 x + 5 ∣ = - 4