What is the answer to (x+5)(x-2)=(x+3)(x+4) ?

The answer to (x+5)(x-2)=(x+3)(x+4) is x=-11/2

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(x+5)(x-2)=(x+3)(x+4)

(x + 5) (x - 2) = (x + 3) (x + 4)

x = - \frac{11}{2}

Decimal Notation

x = - 5.5

Solution steps

(x + 5) (x - 2) = (x + 3) (x + 4)

Expand

(x + 5) (x - 2) : x^{2} + 3 x - 10

Expand

(x + 3) (x + 4) : x^{2} + 7 x + 12

x^{2} + 3 x - 10 = x^{2} + 7 x + 12

Move

10

to the right side

x^{2} + 3 x = x^{2} + 7 x + 22

Subtract

x^{2} + 7 x

from both sides

x^{2} + 3 x - (x^{2} + 7 x) = x^{2} + 7 x + 22 - (x^{2} + 7 x)

Simplify

- 4 x = 22

Divide both sides by

- 4

x = - \frac{11}{2}

\frac{2 x + 9}{\frac{3}{4} + 9} = \frac{x - \frac{7}{3}}{4}

x, y = f (x + 6) + 2

u, 3 u + 2 v = 9

- 6 x + 6 = - 4 x - 2

3 (- y + 7) = 3 (y + 5) + 6

What is the answer to (x+5)(x-2)=(x+3)(x+4) ?
The answer to (x+5)(x-2)=(x+3)(x+4) is x=-11/2
Solve for x: (x+5)(x-2)=(x+3)(x+4)
The solution is x=-11/2