What is the answer to 3/5 |10-5x|+8=29 ?

The answer to 3/5 |10-5x|+8=29 is x=-5\lor x=9

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3/5 |10-5x|+8=29

\frac{3}{5} ∣ 10 - 5 x ∣ + 8 = 29

x = - 5 or x = 9

Solution steps

\frac{3}{5} ∣ 10 - 5 x ∣ + 8 = 29

Move

8

to the right side

\frac{3}{5} ∣ 10 - 5 x ∣ = 21

Multiply both sides by

5

3 ∣ 10 - 5 x ∣ = 105

Divide both sides by

3

∣ 10 - 5 x ∣ = 35

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

10 - 5 x = - 35 or 10 - 5 x = 35

10 - 5 x = - 35 or 10 - 5 x = 35

x = - 5 or x = 9

∣ x - 5 ∣ = ∣ - 7 x + 3 ∣

∣ 2 x + 1 ∣ = ∣ 6 x + 1 ∣

∣ 3 a - 1 ∣ = ∣ 2 a + 4 ∣

10 + 8 ∣ 8 k + 3 ∣ = 34

- lo g_{10} (∣ 3 - y ∣) = \frac{x}{0.5} + c

What is the answer to 3/5 |10-5x|+8=29 ?
The answer to 3/5 |10-5x|+8=29 is x=-5\lor x=9
Solve for x: 3/5 |10-5x|+8=29
The solution is x=-5\lor x=9