What is the answer to |2x-3|+5=7 ?

The answer to |2x-3|+5=7 is x= 1/2 \lor x= 5/2

Solve for x: |2x-3|+5=7

The solution is x= 1/2 \lor x= 5/2

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∣ 2 x - 3 ∣ + 5 = 7

x = \frac{1}{2} or x = \frac{5}{2}

Decimal Notation

x = 0.5, x = 2.5

Solution steps

∣ 2 x - 3 ∣ + 5 = 7

Move

5

to the right side

∣ 2 x - 3 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = \frac{1}{2} or x = \frac{5}{2}

∣ 6 m + 3 ∣ - 4 = 35

x, ∣ 3 x - 8 ∣ = x

∣ t + 10 ∣ = 90

∣ x + 2 ∣ = - 2 x + 5

∣ 6 m ∣ + 2 = 74

What is the answer to |2x-3|+5=7 ?
The answer to |2x-3|+5=7 is x= 1/2 \lor x= 5/2
Solve for x: |2x-3|+5=7
The solution is x= 1/2 \lor x= 5/2