What is the answer to |7x-5|+5=9 ?

The answer to |7x-5|+5=9 is x= 1/7 \lor x= 9/7

Solve for x: |7x-5|+5=9

The solution is x= 1/7 \lor x= 9/7

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∣ 7 x - 5 ∣ + 5 = 9

x = \frac{1}{7} or x = \frac{9}{7}

Decimal Notation

x = 0.14285 \dots, x = 1.28571 \dots

Solution steps

∣ 7 x - 5 ∣ + 5 = 9

Move

5

to the right side

∣ 7 x - 5 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

7 x - 5 = - 4 or 7 x - 5 = 4

7 x - 5 = - 4 or 7 x - 5 = 4

x = \frac{1}{7} or x = \frac{9}{7}

5 x^{2} + 15 x - 90

25 - x^{2} > 0

6 x^{2} + 6 x = 0

x^{3} + 7 x^{2} + x + 7

3 + x = (- 2 x - 1)^{2} + \frac{( x - 1 ) ^{2}}{4}

What is the answer to |7x-5|+5=9 ?
The answer to |7x-5|+5=9 is x= 1/7 \lor x= 9/7
Solve for x: |7x-5|+5=9
The solution is x= 1/7 \lor x= 9/7