What is the answer to |10x-3|-2=7 ?

The answer to |10x-3|-2=7 is x=-3/5 \lor x= 6/5

Solve for x: |10x-3|-2=7

The solution is x=-3/5 \lor x= 6/5

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∣ 10 x - 3 ∣ - 2 = 7

x = - \frac{3}{5} or x = \frac{6}{5}

Decimal Notation

x = - 0.6, x = 1.2

Solution steps

∣ 10 x - 3 ∣ - 2 = 7

Move

2

to the right side

∣ 10 x - 3 ∣ = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

10 x - 3 = - 9 or 10 x - 3 = 9

10 x - 3 = - 9 or 10 x - 3 = 9

x = - \frac{3}{5} or x = \frac{6}{5}

∣ 4 x + 10 ∣ = 6 x

- 2 ∣ 8 x - 4 ∣ - 5 = - 93

∣ 2 x + 7 ∣ - 5 = 9

∣ 2 x + 7 ∣ - 5 = 5

3 ∣ 3 x + 2 ∣ = 51

What is the answer to |10x-3|-2=7 ?
The answer to |10x-3|-2=7 is x=-3/5 \lor x= 6/5
Solve for x: |10x-3|-2=7
The solution is x=-3/5 \lor x= 6/5