What is the answer to (x+7)(x+6)+12=(x+5)(x+9) ?

The answer to (x+7)(x+6)+12=(x+5)(x+9) is x=9

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(x+7)(x+6)+12=(x+5)(x+9)

(x + 7) (x + 6) + 12 = (x + 5) (x + 9)

x = 9

Solution steps

(x + 7) (x + 6) + 12 = (x + 5) (x + 9)

Expand

(x + 7) (x + 6) + 12 : x^{2} + 13 x + 54

Expand

(x + 5) (x + 9) : x^{2} + 14 x + 45

x^{2} + 13 x + 54 = x^{2} + 14 x + 45

Move

54

to the right side

x^{2} + 13 x = x^{2} + 14 x - 9

Subtract

x^{2} + 14 x

from both sides

x^{2} + 13 x - (x^{2} + 14 x) = x^{2} + 14 x - 9 - (x^{2} + 14 x)

Simplify

- x = - 9

Divide both sides by

- 1

x = 9

- 7 (y - 4) = - 2 (9 + y)

x, 7 x + 4 y = 13

x, x + 3 y = 9

x, x + 2 y = 7

15 t - 20 = 6 t - (t + 2) + (- t + 3)

What is the answer to (x+7)(x+6)+12=(x+5)(x+9) ?
The answer to (x+7)(x+6)+12=(x+5)(x+9) is x=9
Solve for x: (x+7)(x+6)+12=(x+5)(x+9)
The solution is x=9