What is the answer to |-5+5a|+7=32 ?

The answer to |-5+5a|+7=32 is a=-4\lor a=6

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|-5+5a|+7=32

∣ - 5 + 5 a ∣ + 7 = 32

a = - 4 or a = 6

Solution steps

∣ - 5 + 5 a ∣ + 7 = 32

Move

7

to the right side

∣ - 5 + 5 a ∣ = 25

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 5 + 5 a = - 25 or - 5 + 5 a = 25

- 5 + 5 a = - 25 or - 5 + 5 a = 25

a = - 4 or a = 6

4 ∣ v - 5 ∣ + 10 = 18

x^{2} - 6 x - 4 = 0

\frac{b}{4} = 8

∣ 0.127 x + 9 ∣ = x^{2}

11 = ∣ 3 x + 5 ∣