Question

3x + 2 + (x - 2)(x + 3) = (x + 5)(x + 3) + 3x - 8​

Answer 1

Respuesta:

$x=\frac{11}{-7}$

Explicación paso a paso:

$3x+2+\left(x-2\right)\left(x+3\right)=\left(x+5\right)\left(x+3\right)+3x-8$

$3x+2+\left(x-2\right)\left(x+3\right)-3x=\left(x+5\right)\left(x+3\right)+3x-8-3x$

$2+\left(x-2\right)\left(x+3\right)=\left(x+5\right)\left(x+3\right)-8$

$x^2+x-4=x^2+8x+7$

$x^2+x-4+4=x^2+8x+7+4$

$x^2+x=x^2+8x+11$

$x^2+x-\left(x^2+8x\right)=x^2+8x+11-\left(x^2+8x\right)$

$-7x=11$

$x=\frac{11}{-7}$