What is the answer to 7|x-3|-10=5|x-3|-10 ?

The answer to 7|x-3|-10=5|x-3|-10 is x=3

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7|x-3|-10=5|x-3|-10

7 ∣ x - 3 ∣ - 10 = 5 ∣ x - 3 ∣ - 10

x = 3

Solution steps

7 ∣ x - 3 ∣ - 10 = 5 ∣ x - 3 ∣ - 10

Add

10

to both sides

7 ∣ x - 3 ∣ - 10 + 10 = 5 ∣ x - 3 ∣ - 10 + 10

Simplify

7 ∣ x - 3 ∣ = 5 ∣ x - 3 ∣

Move

5 ∣ x - 3 ∣

to the left side

2 ∣ x - 3 ∣ = 0

Divide both sides by

2

∣ x - 3 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

x - 3 = 0

x - 3 = 0 : x = 3

x = 3

\frac{( c + 2 ) ^{2}}{7 c ^{2} + 14 c}

\frac{2 x}{4} = 5

55 > - 7 v + 6

x^{2} + 13 x + 46 = 0

lo g_{2} (x^{2} - x) > 1 - lo g_{0.5} (x)

What is the answer to 7|x-3|-10=5|x-3|-10 ?
The answer to 7|x-3|-10=5|x-3|-10 is x=3
Solve for x: 7|x-3|-10=5|x-3|-10
The solution is x=3