What is the answer to -3=-|c-7|+1 ?

The answer to -3=-|c-7|+1 is c=3\lor c=11

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-3=-|c-7|+1

- 3 = - ∣ c - 7 ∣ + 1

c = 3 or c = 11

Solution steps

- 3 = - ∣ c - 7 ∣ + 1

Move

∣ c - 7 ∣

to the left side

- 3 + ∣ c - 7 ∣ = 1

Move

3

to the right side

∣ c - 7 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

c - 7 = - 4 or c - 7 = 4

c - 7 = - 4 or c - 7 = 4

c = 3 or c = 11

4 x = 15

2 - \frac{3 n}{m} + \frac{9 n ^{2} - 2 m ^{2}}{m ^{2} + 2 mn}

3 (x - 1) < - 3 (2 - 2 x)

\frac{2}{3} x + \frac{3}{2} x \geq \frac{1}{2}

\frac{1}{3} (5 x - 9) = 2 (\frac{1}{3} x + 6)