What is the answer to 4= 3/4 |2x-3|+1 ?

The answer to 4= 3/4 |2x-3|+1 is x=-1/2 \lor x= 7/2

Solve for x: 4= 3/4 |2x-3|+1

The solution is x=-1/2 \lor x= 7/2

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4 = \frac{3}{4} ∣ 2 x - 3 ∣ + 1

x = - \frac{1}{2} or x = \frac{7}{2}

Decimal

x = - 0.5, x = 3.5

Solution steps

4 = \frac{3}{4} ∣ 2 x - 3 ∣ + 1

Switch sides

\frac{3}{4} ∣ 2 x - 3 ∣ + 1 = 4

Move

1

to the right side

\frac{3}{4} ∣ 2 x - 3 ∣ = 3

Multiply both sides by

4

3 ∣ 2 x - 3 ∣ = 12

Divide both sides by

3

∣ 2 x - 3 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = - \frac{1}{2} or x = \frac{7}{2}

∣ - 2 x ∣ = ∣ 8 ∣

- 5 + 2 ∣ 3 x + 2 ∣ = 5

x^{2} - 2 ∣ x + 2 ∣ = 11 - 4 x

∣ 8 n + 10 ∣ = 22

∣ 3 x + 4 ∣ = ∣ 9 x + 12 ∣

What is the answer to 4= 3/4 |2x-3|+1 ?
The answer to 4= 3/4 |2x-3|+1 is x=-1/2 \lor x= 7/2
Solve for x: 4= 3/4 |2x-3|+1
The solution is x=-1/2 \lor x= 7/2