What is the answer to |7x-3|+2=2 ?

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

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|7x-3|+2=2

∣ 7 x - 3 ∣ + 2 = 2

x = \frac{3}{7}

Decimal Notation

x = 0.42857 \dots

Solution steps

∣ 7 x - 3 ∣ + 2 = 2

Subtract

2

from both sides

∣ 7 x - 3 ∣ + 2 - 2 = 2 - 2

Simplify

∣ 7 x - 3 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

7 x - 3 = 0

7 x - 3 = 0 : x = \frac{3}{7}

x = \frac{3}{7}

3 (\frac{13}{2}) + 2 y = 9

5 m^{2} + m - 6

- 8 - 63

x^{2} - 8 x - 25 = - 3 x - 1

5 (2 x + 2) \geq \frac{4 x - 10}{3}