What is the answer to (2-x)(14-x)=(15-x)(20-x) ?

The answer to (2-x)(14-x)=(15-x)(20-x) is x= 272/19

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(2-x)(14-x)=(15-x)(20-x)

(2 - x) (14 - x) = (15 - x) (20 - x)

x = \frac{272}{19}

Decimal

x = 14.31578 \dots

Solution steps

(2 - x) (14 - x) = (15 - x) (20 - x)

Expand

(2 - x) (14 - x) : 28 - 16 x + x^{2}

Expand

(15 - x) (20 - x) : 300 - 35 x + x^{2}

28 - 16 x + x^{2} = 300 - 35 x + x^{2}

Move

28

to the right side

- 16 x + x^{2} = x^{2} - 35 x + 272

Subtract

x^{2} - 35 x

from both sides

- 16 x + x^{2} - (x^{2} - 35 x) = x^{2} - 35 x + 272 - (x^{2} - 35 x)

Simplify

19 x = 272

Divide both sides by

19

x = \frac{272}{19}

3 x + 2 = x - 3

x, (y + 3) 24 - x - 2212 = 1

7 x - 2 = 3, x

g, lo g_{10} (x) + lo g_{10} (x - 1) = lo g_{4} (x)

x, 4 x + 2 y = 140

What is the answer to (2-x)(14-x)=(15-x)(20-x) ?
The answer to (2-x)(14-x)=(15-x)(20-x) is x= 272/19
Solve for x: (2-x)(14-x)=(15-x)(20-x)
The solution is x= 272/19