Solve (x+6)(x-5)-(x-1)(x+5)=24

$$( x + 6 ) ( x - 5 ) - ( x - 1 ) ( x + 5 ) = 24$$

Solve for x

$$x = -\frac{49}{3} = -16\frac{1}{3} \approx -16.333333333$$

Steps for Solving Linear Equation

Use the distributive property to multiply x+6 by x-5 and combine like terms.

$$x^{2}+x-30-\left(x-1\right)\left(x+5\right)=24$$

Use the distributive property to multiply x-1 by x+5 and combine like terms.

$$x^{2}+x-30-\left(x^{2}+4x-5\right)=24$$

To find the opposite of x^{2}+4x-5, find the opposite of each term.

$$x^{2}+x-30-x^{2}-4x+5=24$$

Combine x^{2} and -x^{2} to get 0.

$$x-30-4x+5=24$$

Combine x and -4x to get -3x.

$$-3x-30+5=24$$

Add -30 and 5 to get -25.

$$-3x-25=24$$

Add 25 to both sides.

$$-3x=24+25$$

Add 24 and 25 to get 49.

$$-3x=49$$

Divide both sides by -3.

$$x=\frac{49}{-3}$$

Fraction \frac{49}{-3} can be rewritten as -\frac{49}{3} by extracting the negative sign.

$$x=-\frac{49}{3}$$