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

The answer to 7-|4x-3|=-5 is x=-9/4 \lor x= 15/4

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

The solution is x=-9/4 \lor x= 15/4

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7 - ∣ 4 x - 3 ∣ = - 5

x = - \frac{9}{4} or x = \frac{15}{4}

Decimal

x = - 2.25, x = 3.75

Solution steps

7 - ∣ 4 x - 3 ∣ = - 5

Move

7

to the right side

- ∣ 4 x - 3 ∣ = - 12

Divide both sides by

- 1

∣ 4 x - 3 ∣ = 12

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x - 3 = - 12 or 4 x - 3 = 12

4 x - 3 = - 12 or 4 x - 3 = 12

x = - \frac{9}{4} or x = \frac{15}{4}

∣ x ∣ = \frac{1}{2} x + 7

∣ x ∣ = \frac{1}{2} x + 2

- 8 - 4 \cdot ∣ 4 - 5 x ∣ = - 5

∣ 4 - 5 x ∣ = 7

∣ x ∣ + x^{2} - 1 - x^{2} = 0

What is the answer to 7-|4x-3|=-5 ?
The answer to 7-|4x-3|=-5 is x=-9/4 \lor x= 15/4
Solve for x: 7-|4x-3|=-5
The solution is x=-9/4 \lor x= 15/4