What is the answer to |7x-9|=x+3 ?

The answer to |7x-9|=x+3 is x= 3/4 \lor x=2

Solve for x: |7x-9|=x+3

The solution is x= 3/4 \lor x=2

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∣ 7 x - 9 ∣ = x + 3

x = \frac{3}{4} or x = 2

Decimal Notation

x = 0.75, x = 2

Solution steps

∣ 7 x - 9 ∣ = x + 3

Find positive and negative intervals

x < \frac{9}{7}, x \geq \frac{9}{7}

Solve the inequality for each interval

x = \frac{3}{4} or x = 2

3 ∣ x - 2 ∣ = 6

∣ - 7 y + 4 ∣ + 8 = 1

x^{2} - 2 = x

∣ 2 x + 5 ∣ = x + 6

∣ v + 8 ∣ = 7