What is the answer to 3|4-3x|+7=25 ?

The answer to 3|4-3x|+7=25 is x=-2/3 \lor x= 10/3

Solve for x: 3|4-3x|+7=25

The solution is x=-2/3 \lor x= 10/3

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3 ∣ 4 - 3 x ∣ + 7 = 25

x = - \frac{2}{3} or x = \frac{10}{3}

Decimal Notation

x = - 0.66666 \dots, x = 3.33333 \dots

Solution steps

3 ∣ 4 - 3 x ∣ + 7 = 25

Move

7

to the right side

3 ∣ 4 - 3 x ∣ = 18

Divide both sides by

3

∣ 4 - 3 x ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 - 3 x = - 6 or 4 - 3 x = 6

4 - 3 x = - 6 or 4 - 3 x = 6

x = - \frac{2}{3} or x = \frac{10}{3}

∣ 2 x + 14 ∣ = 60

∣ 8 - 2 x ∣ + x - 5 = 0

10 - 6 \frac{x}{6} = 2

∣ 2 x - 1 ∣ = 9 - 3 x

∣ 11 x + 6 ∣ + 5 = 2

What is the answer to 3|4-3x|+7=25 ?
The answer to 3|4-3x|+7=25 is x=-2/3 \lor x= 10/3
Solve for x: 3|4-3x|+7=25
The solution is x=-2/3 \lor x= 10/3