What is the answer to 5x-2-|4x-3|=1-x ?

The answer to 5x-2-|4x-3|=1-x is x= 3/5

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5x-2-|4x-3|=1-x

5 x - 2 - ∣ 4 x - 3 ∣ = 1 - x

x = \frac{3}{5}

Decimal

x = 0.6

Solution steps

5 x - 2 - ∣ 4 x - 3 ∣ = 1 - x

Find positive and negative intervals

x < \frac{3}{4}, x \geq \frac{3}{4}

Solve the inequality for each interval

x = \frac{3}{5} or No Solution

x = \frac{3}{5}

∣ 8 x - 6 ∣ = 6

∣ x + 2 ∣ = 2 x

9 ∣ x - 6 ∣ - 9 = - 2

∣ m - 10 ∣ - 6 = 13

2 ∣ x - 1 ∣ = 8 + 2 x