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

The answer to |4x-7|+3=7 is x= 3/4 \lor x= 11/4

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

The solution is x= 3/4 \lor x= 11/4

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∣ 4 x - 7 ∣ + 3 = 7

x = \frac{3}{4} or x = \frac{11}{4}

Decimal Notation

x = 0.75, x = 2.75

Solution steps

∣ 4 x - 7 ∣ + 3 = 7

Move

3

to the right side

∣ 4 x - 7 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x - 7 = - 4 or 4 x - 7 = 4

4 x - 7 = - 4 or 4 x - 7 = 4

x = \frac{3}{4} or x = \frac{11}{4}

3 x^{2} + x = 10

(a - 3 b) (a + 2 b) + 5 a (a + 2 b)

3 (4 x - 1) \geq 15 x

\frac{π}{3} - \frac{π}{2}

9.24 (0.7 a + 1.7) = 9.39 a + 33.24

What is the answer to |4x-7|+3=7 ?
The answer to |4x-7|+3=7 is x= 3/4 \lor x= 11/4
Solve for x: |4x-7|+3=7
The solution is x= 3/4 \lor x= 11/4