What is the answer to -3|5-4x|+8=7 ?

The answer to -3|5-4x|+8=7 is x= 7/6 \lor x= 4/3

Solve for x: -3|5-4x|+8=7

The solution is x= 7/6 \lor x= 4/3

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- 3 ∣ 5 - 4 x ∣ + 8 = 7

x = \frac{7}{6} or x = \frac{4}{3}

Decimal Notation

x = 1.16666 \dots, x = 1.33333 \dots

Solution steps

- 3 ∣ 5 - 4 x ∣ + 8 = 7

Move

8

to the right side

- 3 ∣ 5 - 4 x ∣ = - 1

Divide both sides by

- 3

∣ 5 - 4 x ∣ = \frac{1}{3}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 - 4 x = - \frac{1}{3} or 5 - 4 x = \frac{1}{3}

5 - 4 x = - \frac{1}{3} or 5 - 4 x = \frac{1}{3}

x = \frac{7}{6} or x = \frac{4}{3}

3 x \geq - 12

6 y - (- 9) + 3 = 0

10 m^{4} - 6250

x^{2} + 8 x = 10

3 y^{2} - 16 y - 12

What is the answer to -3|5-4x|+8=7 ?
The answer to -3|5-4x|+8=7 is x= 7/6 \lor x= 4/3
Solve for x: -3|5-4x|+8=7
The solution is x= 7/6 \lor x= 4/3