What is the answer to -2|4-2x|+7=6 ?

The answer to -2|4-2x|+7=6 is x= 7/4 \lor x= 9/4

Solve for x: -2|4-2x|+7=6

The solution is x= 7/4 \lor x= 9/4

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- 2 ∣ 4 - 2 x ∣ + 7 = 6

x = \frac{7}{4} or x = \frac{9}{4}

Decimal Notation

x = 1.75, x = 2.25

Solution steps

- 2 ∣ 4 - 2 x ∣ + 7 = 6

Move

7

to the right side

- 2 ∣ 4 - 2 x ∣ = - 1

Divide both sides by

- 2

∣ 4 - 2 x ∣ = \frac{1}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = \frac{7}{4} or x = \frac{9}{4}

6 = 8.1 - 3 x

x (3 - x) (x - 7) < 0

- 2 x^{2} + 2 x + 24

x^{2} - 1 + x^{2} - 16 = 2

21 - 4

What is the answer to -2|4-2x|+7=6 ?
The answer to -2|4-2x|+7=6 is x= 7/4 \lor x= 9/4
Solve for x: -2|4-2x|+7=6
The solution is x= 7/4 \lor x= 9/4