What is the answer to | 1/4 x-3|+1=11 ?

The answer to | 1/4 x-3|+1=11 is x=-28\lor x=52

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| 1/4 x-3|+1=11

\frac{1}{4} x - 3 + 1 = 11

x = - 28 or x = 52

Solution steps

\frac{1}{4} x - 3 + 1 = 11

Move

1

to the right side

\frac{1}{4} x - 3 = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{1}{4} x - 3 = - 10 or \frac{1}{4} x - 3 = 10

\frac{1}{4} x - 3 = - 10 or \frac{1}{4} x - 3 = 10

x = - 28 or x = 52

∣ 3 x - 12 ∣ = 6

\frac{x + 5}{2} + 3 = 2

∣ x - 3 ∣ + ∣ 1 - x ∣ = 2

0 = \frac{2}{3} - x

\frac{1}{4} - \frac{3}{2} x = 1

What is the answer to | 1/4 x-3|+1=11 ?
The answer to | 1/4 x-3|+1=11 is x=-28\lor x=52
Solve for x: | 1/4 x-3|+1=11
The solution is x=-28\lor x=52