What is the answer to |7x-5|-10=-10 ?

The answer to |7x-5|-10=-10 is x= 5/7

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|7x-5|-10=-10

∣ 7 x - 5 ∣ - 10 = - 10

x = \frac{5}{7}

Decimal Notation

x = 0.71428 \dots

Solution steps

∣ 7 x - 5 ∣ - 10 = - 10

Add

10

to both sides

∣ 7 x - 5 ∣ - 10 + 10 = - 10 + 10

Simplify

∣ 7 x - 5 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

7 x - 5 = 0

7 x - 5 = 0 : x = \frac{5}{7}

x = \frac{5}{7}

∣ 2 - x ∣ = 0

∣ x + 7 ∣ = 1

∣ x - 5 ∣ = 3 x + 3

∣ - 2 x + 7 ∣ = 25

5 = 2 ∣ x - 4 ∣ - 3