What are the solutions of the equation −12x+26=−(15)−x+2+3 ? ​ x=−22 ​ and x = 3 ​x = 2 and x = 3 x = 2 and x=−22 x = 2 and ​x = 4

Respuesta :

Answer: [tex]x=\frac{36}{11}[/tex]

Step-by-step explanation:

Given the following equation:

[tex]-12x+26=-(15)-x+2+3[/tex]

You need to solve for the variable "x" in order to find its value. You can do it applying the following steps:

1. You can add the like terms on the rigth side of the equation:

[tex]-12x+26=-10-x[/tex]

2. Now you need to add "x" to both sides of the equation:

[tex]-12x+26+x=-10-x+x\\\\-11x+26=-10[/tex]

3. The next step is to subtract 26 from both sides of the equation:

[tex]-11x+26-26=-10-26\\\\-11x=-36[/tex]

4. And finally, you have to divide both sides of the equation by -11:

[tex]\frac{-11x}{-11}=\frac{-36}{-11}\\\\x=\frac{36}{11}[/tex]