What is the answer to 15|x-7|+4=10|x-7|+4 ?

The answer to 15|x-7|+4=10|x-7|+4 is x=7

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15|x-7|+4=10|x-7|+4

15 ∣ x - 7 ∣ + 4 = 10 ∣ x - 7 ∣ + 4

x = 7

Solution steps

15 ∣ x - 7 ∣ + 4 = 10 ∣ x - 7 ∣ + 4

Subtract

4

from both sides

15 ∣ x - 7 ∣ + 4 - 4 = 10 ∣ x - 7 ∣ + 4 - 4

Simplify

15 ∣ x - 7 ∣ = 10 ∣ x - 7 ∣

Move

10 ∣ x - 7 ∣

to the left side

5 ∣ x - 7 ∣ = 0

Divide both sides by

5

∣ x - 7 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

x - 7 = 0

x - 7 = 0 : x = 7

x = 7

\frac{x ^{9}}{x ^{8}}

16 x - (3 x - (6 - 9 x)) = 30 x + (- (3 x + 2) - (x + 3))

8 x^{4} - 26 x^{3} - 27 x^{2} + 11 x + 4

\frac{x + 1}{2 - x} \leq - 2

- 8 x = 12 - 20

What is the answer to 15|x-7|+4=10|x-7|+4 ?
The answer to 15|x-7|+4=10|x-7|+4 is x=7
Solve for x: 15|x-7|+4=10|x-7|+4
The solution is x=7