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]