What is the answer to 7=|3x-4|+5 ?

The answer to 7=|3x-4|+5 is x= 2/3 \lor x=2

Solve for x: 7=|3x-4|+5

The solution is x= 2/3 \lor x=2

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7 = ∣ 3 x - 4 ∣ + 5

x = \frac{2}{3} or x = 2

Solution steps

7 = ∣ 3 x - 4 ∣ + 5

Switch sides

∣ 3 x - 4 ∣ + 5 = 7

Move

5

to the right side

∣ 3 x - 4 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 4 = - 2 or 3 x - 4 = 2

3 x - 4 = - 2 or 3 x - 4 = 2

x = \frac{2}{3} or x = 2

7 - 2 (5 x - 13) = - 17

x^{2} + 4 x + x y + 4 y

27 a^{3} + 1

25 r^{2} + 120 r + 144

1.3 x + \frac{x + 3}{0.5} = 0.5