What is the answer to (x+2)(x+3)=(x+1)(x+5) ?

The answer to (x+2)(x+3)=(x+1)(x+5) is x=1

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(x+2)(x+3)=(x+1)(x+5)

(x + 2) (x + 3) = (x + 1) (x + 5)

x = 1

Solution steps

(x + 2) (x + 3) = (x + 1) (x + 5)

Expand

(x + 2) (x + 3) : x^{2} + 5 x + 6

Expand

(x + 1) (x + 5) : x^{2} + 6 x + 5

x^{2} + 5 x + 6 = x^{2} + 6 x + 5

Move

6

to the right side

x^{2} + 5 x = x^{2} + 6 x - 1

Subtract

x^{2} + 6 x

from both sides

x^{2} + 5 x - (x^{2} + 6 x) = x^{2} + 6 x - 1 - (x^{2} + 6 x)

Simplify

- x = - 1

Divide both sides by

- 1

x = 1

x, 2 x + 2 y = 2

x, x + 3 y = 4

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

x, 3 x - 4 y = 0

x, 20 x + 8 y = 64

What is the answer to (x+2)(x+3)=(x+1)(x+5) ?
The answer to (x+2)(x+3)=(x+1)(x+5) is x=1
Solve for x: (x+2)(x+3)=(x+1)(x+5)
The solution is x=1